The campgrounds will have breakers (sometimes they are accessible to you, and sometimes they are not), but not surge protection. Breakers are required by code.
Breakers and surge protectors do different things, and some of the other units do even more. Breakers are a safety device that trips when the circuit draws too much current. For instance, a short circuit. Surge protectors protect the equipment that's plugged into it from surges from the electrical supply. This could be a lightning strike somewhere during a storm, or an accident that takes out a pole, or even other peoples A/C going on and off, among other things.
In short, the answer is yes, you should buy a surge protector at the minimum. There are a couple of decent brands out there. Even better is to buy one of the Progressive Industries EMS units, because it protects your trailer from high and low voltage, surges, incorrectly wired pedestals, and frequencies out of range. I have the hard wired 30A version in my camper - it was the first big thing I did to it. It cost me about $220, but it was well worth it to me. I also carry around a 30A RV to 20A adapter and a circuit tester, and plug that into the pedestal before plugging in my camper. If I were to get anything other than the two yellow lights, I would contact the campground before I plugged my camper in.
2016 Coachmen Freedom Express 282BHDS
2008 Dodge Ram 1500 Quad Cab 4x4 Big Horn, 5.7L HEMI