Retains its original name after taming. Gara is not immediately tameable, but involves a complex quest, starting with a different version of the NPC. A detailed walk-through, and video, of the quest can be found here.
This wolf is intended as a replacement for hunters who have tamed and then released / lost Gara. She isn't tameable by anyone else. Found only when in the shadow realm, north-west of Karabor.
Level scaling: In Shadowlands most NPCs will scale with the Hunter's level, within the constraints of their level range. Hunters can tame regular NPCs up to 2 levels higher than them, but can only tame elite NPCs of the hunter's level or below.