This quest is not available in game.
Speak with Belia Thundergranite in Ironforge.
<name>, ya now have the power to tame a pet, but you must also gain the skills ta train it.
Travel to Ironforge and find the Hall of Arms. There you must speak to one of our most revered animal trainers, Belia Thundergranite. She'll give ya the power to train your new pet, so get goin', lad!
Belia is a friendly sort; you should have no problems gaining her approval. Good luck, <name>.