Your most recently downloaded full games are added to the content launcher. If your purchase is not visible on the content launcher, you can find it in your [Library]. Your Library is arranged with all content grouped together, so if you have purchased DLC, go to the main title to find it.
You can check the progress of your downloads in [Notifications] > [Downloads].
‘Play as you Download’ is available on selected games. This function allows you to choose which part of the game you want to download and play first, while the rest of the content downloads in the background.
When you purchase a game, you can choose to start the download to your PS4 remotely via a web browser. To perform a Remote Download, you must have Automatic Updates switched on.