Buy a ticket and join the crowds at a game at Ulmer Stadium. If there's nothing happening while you're in town, you might like to check if they give a tour of the grounds.
This sporting facility is one of the most popular sights in University. However, it's not the only spot in the area worth visiting. After you've paid the admission fee and spent some time at Ulmer Stadium, have a look at nearby Muhammad Ali Center, KFC Yum Center and Louisville Slugger Museum as well.