This website has all there is to do on the island while you are here! There are always lots of activities going on so please check it out and enjoy all the island has to offer.
Beaufort is a great little town to explore. With it only being about a 30 minute drive from the island it is a fun day trip for lunch and shopping or to have a nice dinner out.
With Hunting Island just over the bridge from Fripp Island you can explore some of South Carolina's wildlife. https://southcarolinaparks.com/hunting-island