I get very excited about going to the Market at the Square but not excited enough to get there before 10 o'clock. That's not a knock on the Market, but is more a function of my love for sleep.
Though today (mid-May), they only had asparagus, the selection rounds out toward the end of the summer. I particularly enjoy sweet corn around late August.
Prices are a little bit higher here but it feels good to buy locally and I really like how, in my experience, everything's been super fresh. I also like how there's a lot of non-produce stuff like meat, cheese, bread, etc.
All in all, Market at the Square is a great place to go.