If you see Automatron included in the list of DLC, then you should be good to go. Once you're done, you can check that it's installed properly by selecting the 'Add-Ons' option from Fallout 4's main menu. Either way, you'll need to download it to your hard drive. Well, to start, we're assuming that you've bought it: the content can be acquired from the PlayStation Store as part of the game's Season Pass or as a standalone purchase.
Automatron, the first expansion pack for Fallout 4, is out now, and if you're reading this article, you may be pondering how to play it.