Re: Bought The Sims 4 but it's not showing up in my library.

Bundle ? What kind of bundle did you buy ? 

This: https://www.origin.com/deu/en-us/store/the-sims/the-sims-4/addon/the-sims-4-bundle--get-to-work-outdoor-retreat-luxury-party-stuff ?

That doesn't contain the base game. Just the EP, a game pack and a stuff pack

Or did you buy a bundle on Amazon ?

Start Origin and Click Games then Reload Game Library. See if that helps.