I bought it as a Key. In my Origin Library stands that it is the Hunter Edition. As i dtarted the game, it asked for my EA-Account. I logged in and i musted Accept the EULA. And that was it. The normal Crysis 3 without bonuses under the name of Hunter Edition...
Don't worry you're not missing out on much. It's fairly easy to go up 5 levels (about a level a match). The bonus arrow is useless, the bow skin is nothing special and as gretel said the bow is quickly unlocked (before level 15). The dog tags aren't that good looking either. The hunter module is ok but there are better ones.
If you want a cool weapon skin though do the following once in the multiplayer menu:
Go to the 'gamesas option
Click 'sign me up (this won't actually make an account).
Then it should give you the Jackal desert skin.