Most shows don't have "Meet the Breed" section unfortunately. But most owners and handlers are more than happy to talk to you about their breed. Just don't bother them when they're getting ready to go into the ring. And do not try to pet any of the dogs without permission.
Dog shows are crazy fun to go to as a spectator. Be sure to take a folding chair of some sort as most do not provide any seating. If you go to http://www.akc.org/ or pick up a copy of Dog World magazine, you can find out when there'll be a show near your home.