Hi, and welcome to the forum!
* Do you need to join a club to compete in DVG?
I don't know about DVG in particular (being an IPO club in Canada, the clubs/orgazinations and requirements are different than the US), so not sure about the need to belong in a club to actually compete, but you will almost certainly need to join a club to train. This is not something that you can do on your own - the club will give you guidance on developing your puppy, starting tracking, and most importantly, will have an experienced helper to do bite-work.
* What are the routines of most clubs? I went to one today and everyone seemed to be socializing more themselves then the puppies or working their dogs, but the training director couldn't be there so maybe its different then?
Every club is different and has a different culture. Some are laid-back and easy going, people's goals are mostly to get out and work with their dogs and have fun with the added bonus of getting titles on the dogs, and other clubs are hard-core competitive, with the members' all working towards regional, national, world championships.
Some clubs have very strict routines and expectations, others are more go-with-the-flow type.
* Do clubs do one on one time or is it just got out and walk the routine by yourself. If so couldn't I just do that at home? I know I need the helper for protection training of course
As a newbie, the club members will work with you one-on-one to bring you along. You will be expected to do you homework too and work on certain exercises at home, but do wait for direction from the club.
At the club, you will want to use the resource of having others around to coach you along - you'd be surprised how easy it is to make little unintended mistakes if you don't have someone watching and giving you feedback. You will also want to work with others for proofing against distractions.