I like the Farmers Markets Saturdays and The Providence Flea Sundays (and sometimes Fri eves) at Farm Fresh RI. In fact, my SO and I had our first date there.

There are places to eat and drink nearby. Pizza, coffee, and industrious spirits.

Also, check out what's going on at Waterfire Arts Center, a relatively short walk (or drive) away. Most exhibits are free, but you can help support them by donations or buying stuff in the gift shop.

https://www.farmfreshri.org/