They do take the kids to lunch and dinner. There are water fountains for the kids to get a drink from. I have gone in and seen snack for the kids but I think it was a special time. If she needs anything that they can't take care of then they will page you.
Please note that if you are going to Palo for dinner tell them that they really try not to page you while you are there. If you do get paged ask to use the phone in Palo and call the kids club first to see what your childs needs are sometimes the kids just want where you are or they are bored with what is going on at the time. Our DD gets bored and has us paged by the time we get there she changes her mind because they have changed activies and she wants to stay. Learn from my experience. LOL
No you can't take drinks or food into the kids clubs.