I just tried this to make sure it was, A. legit & B. "that easy" and it is both. Super easy. Seriously took me 10-20 seconds.
UPDATE
The government has launched its website that allows Americans to order free at-home COVID tests a day earlier than anticipated. The website CovidTests.gov is now live and the ordering process is very easy.
All you have to do is click the "Order Free At-Home Tests" button and then enter your name and shipping address. Then you place your order and just like that you're done.
After ordering, a message reads: "COVID-19 tests will start shipping in late January. USPS will only send one set of 4 free at-home COVID-19 tests to valid residential addresses."