Newmarket has a small shopping district with a convenience grocery, a post office, an excellent pizza parlor (soon to move to bigger quarters), and a video rental store. The old mill (so many towns in New England have old mills) is in the center of town on the Lamprey River. Part of the mill has been converted to condominiums.
By the way, we saw Lynn Jennings running on the roads of Newmarket.
We stayed with friends who live at Moody Point on Great Bay. It is a nature preserve. We watched the tide roll out (the mud flats were easy to see) and we listened to cormorants and loons at night. It was lovely.