Grab tickets and join the crowds at a game at Joseph P. Riley, Jr. Park. If there's nothing on while you're there, you might like to check if the stadium offers a guided tour of the grounds.
When you've spent some time at this sporting facility in Downtown Charleston, why not check out USS Yorktown, College of Charleston, and Charleston City Market? They're not very far from Joseph P. Riley, Jr. Park and also a favorite with travelers.