I come to Market Square weekly during free yoga season. This yoga class is family-friendly, and it gets packed. The location is a bit odd because people hang out and watch 200 people do yoga on Sunday mornings, but I love the free yoga initiative!
In the winter, there is a really cute Holiday area that is fun to hang out in on the weekends. There are crafts, holiday-themed food, and fun!
If you are just hanging out in Market Square with no set purpose, there are plenty of places to eat and grab a drink.