Take a bus to MGM and then walk along the path to The Swan and Dolphin, then to the Boardwalk where you can order a pizza or eat at any of the restaurants there. If it's early you can get something at the bakery (I want to try that place some day), there are sometimes people doing acts along the boardwalk. It's also a nice walk around and between the Port Orleans Resorts. You can go watch Wishes on the beach of the Polynesian or even better is to take the boat across to the Contemporary and at the end of the dock closest to the resort you can hear the music very well and see the fireworks over the MK (the speakers there are better than on the Poly beach).
There are many places to explore all over WDW, but the #1 think you can do is to go to the FW beach and claim a hammock as your own and swing, swing some more, snooze, swing, watch the birds, swing, watch the boats going back and forth, go get some take out fried chicken for lunch, go back and make sure no one is in your hammock and take a nap (cause eating lunch will take a lot out of you). If you have any sand toys with you, the kids can play with them while you chill, if not there are some Tonka trucks on the beach.
Wish I were there now.