The island has a rather turbulent history. It's worth taking a "Jungle Safari" around the rainforests, as this also includes much information on the island itself.
There is a marine sanctuary national park on one side of the island by the Anse Chastenet resort. Great spot to learn about local marine life & ecology.
The Sulfur Springs - just south of Soufriere, these hot springs are one of the main attractions on the island. There is a pool that the hot water runs through, so make sure to take your swimming trunks and go for a dip!
Rainforest hikes - there are several offical hiking routes on the island. The Ministry of Agriculture Forestry and Fisheries (http://www.slumaffe.org/) site has links to information about the ones they support.
Climbing the Gros Piton is an achievable goal for most people. The trailhead begins at an elevation of about 600 feet approx. 180 m above sea level and requires about two hours of moderate to strenuous hiking to reach the summit of about 2600 feet approx. 800 m above sea level. A further 1-and-a-half hours are needed to descend. Guides are required and entrance costs $30 US. Taxis or local buses can be used to reach the trail head.
Snorkeling is popular and a number of beaches are suitable.
SNUBA diving - done at Pigeon Island, one of the island's Historical Landmarks, as well as between The Pitons, a World Heritage Site. 758 484 3346/ 758 285 7354.