junior - the group therapy is overseen by a LPC who specializes in Cognitive Behavior Therapy.
The group sessions take place with just the kids and the therapist, so I haven't watched them, but from listening it seems like they chat for a few minutes to start, and then he gives the kids some sort of challenge they have to complete together. Sometimes it's like a puzzle or brain teaser, sometimes it's imaginative/creative (thinking up a new product, for example). The therapist lets the kids direct how they handle the scenario/challenge, and basically just keeps them on task, redirects if necessary, and steps in if anyone's not behaving properly. Then when the kids have their 1 on 1 session each month they talk about what happens during the sessions and what the kids can work on. My son, for example, attempts to be the 'funny' one, in lieu of conversing with people.
He also talks to the kids at the end and asks them about what worked/what didn't, how their actions effected the group and the challenge, that sort of thing.
