Do bee's have flea's

Not fleas as such, but there are a couple of parasites such as Braula coeca, sometimes called the bee louse, but that's not so common now.

Of much more importance is Varroa destructor. The varroa mite is endemic now in most countries, with the notable exception of Australia, and unless beekeepers work to keep it under control, the mites will weaken a bee colony and eventually kill it.