There is actually quite a lot to do in that area. There are bike trails behind the hotel and a jogging path. Fort Wilderness is nearby, where you can go horseback riding. We did that last year and it was great. The Hoop Dee Doo Musical Review is held at Pioneer Hall at Fort Wilderness, which is a lot of singing and dancing western style with the standard chicken/ribs dinner.
There is also a petting zoo at Fort Wilderness and River Country, which was the first Disney Water park. It doesn't match up to Blizzard Beach or Typhoon Lagoon, but it is worth a few hours.
You can rent boats at the marina at the Lodge They are on the little water sprites, but they can be a lot of fun.
If you have children, the front desk can give them a list of clues to hunt around the hotel and the grounds for signs of hidden Mickeys. They win a pin or some small trinket for finding all of the Mickeys hidden around the place.
The pool at the Villas is attractive and quiet, if not very big. The one at the Lodge starts as a geyser in the lobby. Water flows into a stream out of the hotel, and over a waterfall to form the pool and waterslide.
At night, you can sit by the pool and watch the electrical water parade in the lake. It is a bunch of boats with lights similar to the Electric Light Parade. It usually gets to the Lodge around 9:30.
My wife and I like to spend a lot of time around the Lodge just relaxing. The hotel itself is worth exploring. There are some cozy fireplaces on several floors and they are great for kicking back after a day at the parks.
The Artist Point restaurant in the Lodge is one of my favorites.