It doesn't take years of postgraduate education to become a casino dealer, but you can't be a dummy, either. Generally you'll need either a high school degree or equivalent to be considered for employment.
Once hired, you will have to undergo an extensive training program—sometimes at an offsite gaming school—in which you will be instructed on a variety of games (maybe only one or two to start). You won’t be allowed onto the floor until you can show that you have mastered them, and can quickly and efficiently count out and deliver change, handle money, and work with the card machines.
Put in your time as a dealer and you may eventually be promoted to a Gaming Manager or Gaming Supervisor, Floor Man, or Pit Boss. You won't spend as much time at the tables, but you'll still have to deal…with cranky, whining gamblers who want their money back.