There are several around Bradenton. One of my favourites is Alma Sue's. It is in the Amish/ Mennonite area and there are usually 2 or 3 quilt frames set up with women hand quilting. They don't mind if you watch and their stitching is amazing! Also good Amish food near by at Der Dutchman or Yoders.
Cotton Patch on University is also good, along with A Quilters Journey and A Quilters Stash on Lockwood Ridge Rd. The last three are in within 10 - 15 minutes of each other.
I also love going to Deborah Quilt Basket in Venice and have done a class there.
http://www.almasue.com
http://www.cottonpatchquiltshop.com
A Quilters Stash 6388 N Lockwood Ridge Rd
https://m.facebook.com/AQuiltersJourney
http://www.debsquiltbasket.com
Have fun!