Apple EarPods are wired, you might be thinking of Air Pods.

Unless they have changed something, the PS4 won't let you connect bt audio devices.

 Hold your ps-button (middle of your controler) and go to the tab under the “close application”, somewhere there you can choose to just play the sound of the game to your earphone. 
(Well, in case the aux is plugged in the controller)

Im going to be buying a ps4 today and wont be needing a headset to talk to friends as I use discord and my pc to speak, but was wondering if i can use my apple earpods to hear game sound from the controller? thank you

Apple Earpods just for game audio not microphone