Jenny Lake and Taggart Lake are two very popular and beautiful hikes
Ride the Bridger Gondola up to the top of the Tetons for stunning views of Jackson Hole. There's food and drinks at the top too!
The closest point to Jackson is about 2 hours by car. Worth going if you have the time! The Grand Canyon of Yellowstone and Old Faithful are two of the many wonderful sites.
There's lots to see in the square and the surrounding streets. Be sure to stop in Lee's Tees for a souvenir!