Does it have activities such as a park, or trails to hike ?

Yes, amazing for families

Lots of hiking, ask the Ranger at the visitors center. This area has the highest concentration of natural bridges (arches) in the Eastern US. If you go out the west entrance and north on 154 to Pickett state Forest, there is a hike to twin arches and charit Creek lodge.

Yes, plenty of hiking. Check out the national park service website.

Lots of hiking, mountain bike, and equestrian trails.