We stayed at Bucuti and Tara on our honeymoon. The pre-fixe dinner there was one of the best things we have ever done. I am glad our room was close because I had a ton of wine. All paired with the dishes, of course.
We ate at the Hilton brunch buffet one day - that is the place if you want a big sorta fancy hotel. Otherwise, I think the thing to do it rent a jeep and drive the national park on the north side of the island. Also, (although we didn't look for it) there is an abandoned Oriential Spa somewhere that you can explore. In addition, there is the little chapel, some ruins and other neat stuff. The beach at the south end of the island is full of locals but it has a neat channel that you can snorkel if you are a strong swimmer. - My wife didn't want to -

Pretty neat place. Go to the big grocery stores and buy some snacks and drinks. Nice place.