Yellow Finger Gorgonian. Diodogoria Nodulifera
It's Non-Photosynthetic. Unfortunately, the LFS shouldn't have sold you this. Most NPS corals should be left in the ocean as only an expert will be able to care for them long term. They need to be in a shady area of the tank. Preferably under a ledge or cave. They require a lot of flow and must be fed zooplankton almost daily. They also require pristine water conditions. Ideal conditions are undetectable nitrates and undetectable phosphates.
If you're not up to the task, I suggest you offer it to a fellow hobbyist that can properly take care of it as it will most likely die.
In the future I suggest researching all livestock prior to purchasing. Unfortunately, many LFS either don't know how to care for certain animals or simply don't care if they will survive as they collect your money and send you out the door.