The Camping area is located at the edge of the city, but it only takes about 25 minutes to get to the Vatican. There is a bus stop right outside the Camping with several bus lines you can take. In the Camping there is an InfoPoint where you can buy tickets.
The Camping itself looks like a small town. You have a market, restaurant and even a laundry. The place is very clean and quiet. If your Tent is near the street, you may hear the cars, but I don't think this is a problem.
Inside the tents you have air conditioning that works both on cool and on heat, a safe where you can leave your passports and a private bathroom. Our trip was in October so we used hot water in the shower, which came very fast.
It was, all in all, a great experience and I would recommend it to anyone trying to save some money for Rome's attractions.