If you come into town by train, you'll have to walk or hitch around town. There isn't any public transport, taxi service, or car rental. Not that this can be a bad thing if, say, you had a rail pass and wanted to spend a day in small-town North Dakota.
However, the more timid may want to take the train to Minot, rent a car, and circle back.
The Geographical Center of North America cairn, at the intersection of US 2 and ND 3. The actual center of the continent is some 6 miles west of nearby Balta, but you really have to be a stickler to get there.
This is a usable article. It has information for getting in as well as some complete entries for restaurants and hotels. An adventurous person could use this article, but please plunge forward and help it grow!