The All-in-one bundle is street dated for the 23rd and does not come with Early Access privileges . It might allow you to download parts of it now but it's still considered to be part of the bundle and thus, unplayable until it's official release date.

Unless they change their minds at the last minute you may have to wait until the 23rd to play your PS4 version.

http://forum.square-enix.com/ffxiv/threads/226763

Quote Originally Posted by Gildrein
Furthermore, those of you who have pre-ordered the all-in-one pack, FFXIV: Online, will receive the pre-order in-game bonuses but it will not come with Early Access. If you'd like to participate in Early Access, please purchase A Realm Reborn, finish the main scenario, and then pre-order Heavensward.