Chef Gordon is very interactive. He does invite guests to participate as much as they'd like. As mentioned, you are welcome to accompany him when ingredients are selected and purchased and he also allows/invites/encourages you to assist in any way you'd like. He is very generous with information and will provide recipes for all items at the end of the evening.
The meal is prepared right near the table and you are encouraged to watch and ask questions (and help) if you'd like.
It is a wonderful experience- we will enjoy our third "A Private Affair" this summer.
Enjoy!