Every once in a while it may cry or today she ate too much and started vomiting, what should I do?

Start reading about puppy care! Congratulations for asking. Your puppy deserves a healthy and happy life.
Read the 'sticky' posts at the top of the Dogs board, read all you can online about 'puppy care' and go to the library. Your vet may have some books and brochures. I hope you are getting the needed puppy shots at the vet. It does cost money to raise a dog. If you can't afford the vet, now is the time to find a new home for him or her.
Make sure he always has a bowl of water. Buy a good quality puppy dry food. I would stay away from canned dog food, and mix in a tiny bit of hamburger or chicken.
No puppy should be crying unless he's just lonely. Let him sleep in a crate or on a dog bed or blanket next to your bed. Can you tell us more?