From the description, that sounds like a great intro to agility class! The classes where I used to teach had dogs running "courses" at the end of six weeks. That is a bad intro to agility class in my opinion.
Things I'd look for during the competition class. How well does the trainer adjust things for different dogs? Not necessarily changing the equipment, but discussing different handling/reward timing/types of rewards for different dogs in the classes. Not every dog is going to train the same, and my favorite trainers are the ones who are willing to work with the 'atypical' dogs, rather than those who try to make those dogs fit the standard.
How confident do the dogs and handlers seem with the exercises? Obviously being challenged is part of class, but you don't want to see incredibly frustrated handlers or dogs showing serious stress/displacement behaviors.
How safe does the equipment and flooring look? I'm becoming a footing snob the longer I do agility. Indoors is always hard, because I don't think there is any mat that is truly anti-slip, but you don't want to see dogs losing their footing constantly. I wouldn't train with metal jump cups at this point. Tunnels should have some sort of tunnel bags, and they shouldn't be blocking the entrances at all. Most places have rubberized contact equipment at this point, at least around here. If it is still wood/sand, is the wood solid, or do some of the strips have splinters? Do dogs seem to be slipping coming down the a-frame?