Some of the benefits of camp- it's fun, it breaks up the usual workout routine, and working with different coaches can provide an athlete with new insight into how to correct a skill by just wording something a little differently or suggesting a new drill. Of them all, that is probably the biggest benefit of camps, but it's not a guarantee. But it can be hard to transfer skills learned at camp back to regular practices. Sometimes the skills learned at camp are just for fun and quickly vanish once camp is over and they go back to their regular training.
I'm guessing that if the camp is put on by the gym the girls won't be doing anything crazy or that their current coaches would not approve of, so that could eliminate some of those problems.
But for a 5 year old, that's a lot. A lot of gymnastics, probably a lot of different coaches, and it could be a little confusing. But it could also be a lot of fun and a great learning experience. It all depends on how your gym structures the whole experience.
How does your DD feel about the camp? Does she want to go? Could she go for half days, maybe some mornings and some afternoons so she could get time in on all events? Will there be other girls at least close to her age there?
I'm guessing she is focused enough for her age to get something out of it, but it really depends on whether you are willing to spend the money on a camp where she might not achieve much more than she would at a regular week of practices. But then again, she could. It's hard to tell.