Again, this would be better asked in the hunter forum, rather than here. I've been downrating because these are in the wrong forum. If you have follow-up questions, please go there.
The Draenei Hunter quests start in Azure Watch. Talk to
Acteon He will send you to the huntress, who is by the dock close to the Exodar.
She will tell you to get the following pets (as a training exercise) - a crab, a bird, and a cat. After you get all three, you need to go back to Acteon and talk to him again to get the spells. You also need to go to a pet trainer, to be able to teach your pets their abilities.