You would receive the same type of training as any CM (Traditions, then whatever park/resort-specific introduction, then role-specific training and finally OJT). I stayed seasonal after my CP ended, so I didn't need any training, but you would receive it as any new CM would when they start out. Yes, you do get paid for your time!
I wouldn't count on getting anything glamorous, especially in regards to something like driving a monorail or operating Test Track, if only for the fact that those types of roles require a lot of OJT and you need to be checked out to ensure your performance is up to snuff. If you're only working one week a year, expect to do QSF, merch, housekeeping, something like that. There's a bunch of people at our location that only work a couple days a week, or a couple days a year and it works out fine for them.
Good luck!