Brunch, Empanadas, Cocktails. All amazing!
Right down the street from the hotels this farm-to-table, wood-fired restaurant is so good you'll completely forget it shares a parking lot with the DMV
Downtown New Canaan is a beautiful walkable town with tons of restaurants and shopping.
Downtown Sono has just about everything. There's a newly opened mall which includes some restaurants and a Pinstripes bowling alley. Just outside the mall there's TONs of bars and restaurants along Washington Street and Main street. There's also a movie theater and Aquarium, not to mention the Switch Tower Museum.
http://www.visitsono.com/index.php
Dog Friendly park with lots of walking trails. Great for a picnic or a stroll
Several of the beaches are open to the public. This website has a good list of parking / fees for the Public Beaches