Yes, many different varieties are commercially cultivated and sold. Your grocer may not label gooseberries by type, much like strawberries. Farmers often brand their packaging with the name of the farm and its region. So many varieties exist that it can be hard to determine quality by the variety's name alone. A few distinctions exist, like Careless, Greenfinch, Invicta, Leveller, and Whinham's Industry. If you are lucky enough to find these at your grocery store, you should buy them. These particular varieties have been awarded Garden Merit by the Royal Horticultural Society and are excellent examples of gooseberries.