I just bought the Fallout 4 season pass on the PS store. It went though. I got an email saying I bought it and it says I bought it in the PS store. But under the game icon on my PS4 it does'nt say I bought it. There isn't a section for add on items under Fallout 4, there are for all other games I have on my PS4. Is this an issue?

There's nothing to add yet. .. You've got all the proof of purchase you need in the emails and your buy history. As long as it's there you needn't worry.

I know there isn't any content yet. but with every other game I bought a season pass for, it shows under that game that I bought the season pass, even before any content came out for it. Thats why I think its strange its not showing up under the game on my system.