Bahia Principe's website has a list of excursions, local activities, historic hiking and parks, and many other things that are near the resort. We recommend sticking to areas that are near the resort and going with groups of people. In many cases you are able to book guided tours with resort staff.
At this link you will find restaurants and bars that are included in your stay. Once you arrive on the property, we highly recommend making reservations right away at any restaurant you are interested in trying! The spots fill up quickly, so do not hesitate! You will have access to the restaurants at the neighboring resorts, as well as their entertainment and some of their pools. (The sports bar's drinks are not included in the all-inclusive package for some bizarre reason), but all other A La Carte restaurants (aside from special themed menus/dinners), bars, room service, and minibar drinks/food ARE included. There is nightly entertainment at the resort, including shows, movies, and theater performances. There will be a schedule provided to you and displayed around the resort once you arrive.