Puppy with parvo started drinking her water by herself?

Yeah it is, however I would find a less expensive Vet. Not saying he isn't good or anything. But the things he did should be under 100 dollars. I would call other Vets, don't mention the previous Vet's name, just find one that is more reasonable. Tell them what she has and how much it would be to get her treated for this illness. You may drive out a ways, but it would be worth it, you're pup needs to be checked often, parvo is quite serious. Good luck with your pup, hope she gets better soon.