This is the furthest north of the peaks that make up the forested backbone called Carter-Moriah Ridge. The trail that runs across these peaks are a part of the Appalachian Trail.
Mt Moriah is climbed usually on the ♦Stony Brook Trail. The trailhead is located on the right-hand side of Rt-16 north of Pinkham Notch. I took this for my first ascent of Mt Moriah in the winter. It's moderate with a steeper section just below the point where it runs into the main ♦Carter-Moriah trail. Upon reaching the junction you take a left on C-M trail which traverses a ridge with great views into Maine. There are several "false summits" over rocky caps. The final climb to the summit is over a fairly steep dome of rock.
The ♦Carter-Moriah trail is a little further north in Gorham NH. I've heard this is also fairly gradual to just below the summit cone of Moriah where it climbs more steeply to the summit ♦North Carter trail and then ♦Carter-Moriah Trail