When downloading the sims 4 on PC and you shut down your PC will still be downloading?

No, if you shut down your PC while downloading The Sims 4, the download will stop. When you restart your computer, the download will typically resume from where it left off, as long as you are using a platform like Origin or Steam that supports paused downloads. However, if the download was interrupted and the client does not support resuming, you may need to start the download again from scratch.