No, you don't.

Erm, okay.

Anyway:

whitehouse.gov - Agreement between the government of the united states of america and the government of the kingdom of denmark

The Government of the United States of America (hereinafter “the United States”) and the Government of the Kingdom of Denmark (hereinafter “the Kingdom of Denmark”) together with the Government of Greenland (hereinafter “Greenland”), hereinafter referred to collectively as “the Parties” and singularly as a “Party”;

The agreement is between all 3 parties - the US, Denmark and Greenland. Already different from 1951 and its revisions.

i. The United States shall be allowed to modernize and expand its activities in Pituffik Space Base;

ii. The United States shall be allowed to establish an additional Defense Area at Narsarsuaq and Mestersvig in accordance with modalities and technical details to be mutually agreed by the Parties;

iii. The United States may establish additional defense areas in Greenland and strengthen its military operations or facilities. Either Party may identify the need for a new Defense Area for the defense of the North Atlantic Treaty area, Greenland, and the American continent. Such Party shall provide a proposal describing the location, scope, size, and types of activities of the proposed Defense Area as well as other modalities such as mitigating measures, including those necessary to take account of the 1991 Memorandum of Understanding and the 2004 Joint Declaration.

Here, here's a thing the haters can complain about

The United States shall award all contracts to commercial enterprises for goods and services related to the establishment, maintenance and servicing, including, but not limited to, construction and dismantling projects, of Defense Areas in Greenland to Greenlandic sources to the maximum extent possible, taking into account the capabilities and feasibility of such sources to implement contracts.

OMG they're going to use local labor!

The Kingdom of Denmark together with Greenland shall review requests to establish unmanned military installations in Greenland outside of the Defense Areas under accelerated governmental approval procedures.

These would be radar and other sensing sites.

With a view to ensuring a secure and effective operation of the Defense Areas, the United States of America shall enjoy, for its public vessels and aircraft and its armed forces and vehicles, the right of free access to and movement between the Defense Areas through Greenland, including the Territorial Waters, by land, air and sea. This may also apply to unmanned military installations subject to agreement bythe Parties on the modalities at the time of establishment;
United States aircraft may fly over and land in any territory in Greenland, including the Territorial Waters, and United States public vessels may have undersea access to and movement within the Territorial Waters, without restriction except as mutually agreed upon by the Parties;
United States public vessels shall be given such additional access to and movement within the Territorial Waters as isagreed to by the Parties at any given time to be required by the military situation for the defense of the North Atlantic Treaty area, Greenland, and the American continent, or for other purposes as may be agreed bythe Parties.

IIRC before we didn't have access this broad. The condition of "US public vessels" is new and is likely aimed at commercial shipping eventually moving through the Arctic.

The United States shall have the right to raise concerns regarding construction, or change of use in a manner that threatens a Defense Area, of any building, facility, or installation in the vicinity of the Defense Area. Upon such notification the Parties shall mutually determine what steps may be necessary to address any threat.

The Parties shall work together to counter espionage in Greenland. Relevant authorities in the Kingdom of Denmark shall keep in close contact with relevant U.S. authorities and other partners to the fullest extent necessary to implement this Article.

This part says that somebody can't buy up the land next to a US base and festoon it with microphones and cameras.

Given the threat to national security and public order posed by increased efforts by adversaries to expand influence and control in Greenland, the Parties agree that states or investors from a state that is not a member of NATO, a NATO partner, or an EU member state shall not be allowed to have (i) control, (ii) significant influence, or (iii) access to non-public information that may constitute a threat to national security or public order within Particularly Sensitive Sectors or Activities in the territory of Greenland (including the Territorial Waters), unless agreed between the Parties that the activities of such states or investors would not constitute a threat to national security or public order.

No Chinese or Russian fishing or minerals interests. No Belt and Road.

And here's for all you TRUMP HATES NATO goobers:

In case Greenland exercises its right to self-determination to become independent, the Government of the Kingdom of Denmark and the Government of Greenland shall together ensure that the independent Greenlandic state will (i) agree to remain in NATO, including by applying to become a member if necessary, and (ii) affirmatively assume, as from the date of independence, all of the rights and obligations of the Kingdom of Denmark specified in this Agreement, including any implementation agreements or arrangements between the Parties, as well as the Defense Arrangements.

So if Greenland goes independent, they're obligated to join NATO! If Trump hates NATO so much, why did he just increase their membership by 1?

Anyways - it looks like the deal was reported accurately.