Why do my new apps not show on my iPhone screen?

Change where new apps get downloaded

To change where new apps get downloaded on your iPhone, or to show or hide the notifications that you see in the App Library:

1. Go to Settings > Home Screen.
2. Select an option such as Add to Home Screen or App Library Only.

Use App Library to search the new apps you are looking for, see this Apple article:

Organize the Home Screen and App Library on your iPhone

https://support.apple.com/en-us/HT211345