They will be happy to have you. Camps are starting to post jobs for nurses now; camps like to do the bulk of their hiring ~February but many are hiring up through the beginning of June.
A couple of considerations:
-you'll want to take the NCLEX first, right? Make sure you make your appointment ASAP.
-you have to be licensed in the state where you'd be practicing as a camp nurse. Ordinarily this is not such a big deal, but as a new grad, it seems likely that you'll want to look for a job in the state where you'll be licensed. If that state is Pennsylvania or Maine or North Carolina, you'll have more job prospects than you can count... if it's Nevada, you won't have quite as many
Think about what kind of camp you want to work at. There's one basic distinction, and many smaller ones. Do you want a camp where the kids stay all summer (6-8 weeks), or one where kids come for a week or two at a time and you keep getting new crops? The first type are all (as far as I've ever heard) camps for wealthy families, usually with great facilities and often with more than one nurse. (This is the "Parent Trap" kind of camp.) The second type has more variables--kids usually come from a variety of backgrounds, facilities range from fancy to rustic, and there may be one nurse or multiple nurses.
Other things to consider: do you want an outdoorsy camp or not? Single-sex or co-ed? Run by an organization like Girl Scouts, YMCA, 4-H, or private? Music camps, drama camps... there are many choices out there.
I wouldn't necessarily look specifically at job postings--just search for camps in the area where you'd like to work, and when you find a camp that looks like fun, email them to see if they're looking for a nurse. Be sure to find out about the working conditions, whether there are other nurses, the living situation, etc.
Good luck! Let us know how it goes!