Munchkin cats are a relatively new breed of cat, and as such, there is not a lot of information available about them. However, from what we do know, it seems that Munchkin cats do shed.
While all cats shed some hair, long-haired breeds tend to shed more than short-haired breeds. Munchkin cats have short fur, but they are not considered to be a short-haired breed. This means that they likely shed somewhere in the middle range - not as much as a long-haired cat, but more than a true short-haired breed.
There are a few things you can do to help reduce shedding and keep your Munchkin's coat healthy and looking its best. First, make sure you're using the right type of brush on your cat - one that is designed for short-haired breeds. Second, give your Munchkin regular baths with a quality shampoo made specifically for cats. Finally, provide your cat with plenty of good quality food and supplements designed to promote healthy skin and coat.