If you are willing to drive a bit, there are some amazing hikes near where Molly grew up (about 1-1.5 hours from long island). We love Anthony's Nose and lots of others at Harriman State Park but there are also great hikes near Cold Spring, NY (not to be confused with Cold Spring Harbor above).
There are many places to eat nearby on Long Island, here are a few suggestions: Cipolini (Italian) Toku (Asian Fusion) Chattanooga (Persian) Grill Time Kotobuki (Sushi) La Bottega (Casual Italian) Sweet Treats on the Wharf (Ice Cream)
If you are willing to trek to the city, there are plenty of other options for eating! Street Taco (Mexican) - Molly & Jason eat here at least once a week Nonna Dora's (Homemade Pastas) Thai Villa (Thai) Cafe Panna (the best ice cream) these are things in our neighborhood, but there are millions of recommendations we can provide - reach out if you have something in mind!