Studios have mugs and glasses. There are also small paper bowls and plates. Depending on the resort, you may only get 4 each of the paper things, but some resorts are more generous. I think you can ask for more if you need them.
We just returned Thursday from a stay in a studio at OKW. They had glasses, mugs, paper plates and bowls, and plastic utencils. They also had paper towels (I didn't expect that and brought my own). There were plenty of plates and bowls, but we had to grab some spoons/knives along the way. (We ate breakfast most days in the room and used knives and spoons for that.)