Main Street of Plymouth has lots of great shops and restaurants to explore!
The Lakes Region has many wonderful spots for hiking, swimming, shopping, and exploring. See this website for a list of great summer activities: https://www.visit-newhampshire.com/lakes/70-great-things-to-do-in-new-hampshire/
A bit further north, but Franconia Notch is truly a gem within New Hampshire. Take a ride on the iconic Cannon Mountain tram, hike through Flume Gorge, or walk around Echo Lake Beach! Check this website for more information: https://www.nhstateparks.org/visit/state-parks/franconia-notch-state-park.aspx
Even further north (about 1.5 hours from the venue), Mt. Washington Valley is the outdoor mecca of New Hampshire. Take the cog railway up the formidable Mt. Washington, shop in downtown North Conway, or look over the valley from the top of Cathedral Ledge. Check this link for more information: https://www.visitmwv.com/attractions
Experience central NH's biodiversity as you walk along flat, easy trails. About 15 minutes from the venue: https://quincybog.org/
Walk out to Rainbow Falls and enjoy full forest immersion in this 1.5 mile and out local favorite! Link to trail info is here: https://www.alltrails.com/trail/us/new-hampshire/walter-newton-natural-area-trail