I dont see my APPLE STORE icon on homepage on my new iphone

The App Store app cannot be deleted.

The App Store app can be on a different page.

On any page of icons, drag downward to open a search, enter App Store in the search box, and press return.

Use Search on your iPhone, iPad, or iPod touch - Apple Support

You should see App Store listed in the search results list of applications. Tap on it to open the App Store.

To relocate apps among multiple pages of icons on the iPhone display, see the following Apple support article:

How to move apps and create folders on your iPhone, iPad, or iPod touch - Apple Support

Settings>ScreenTime>Content&Privacy Restrictions>Itunes&AppStore Purchases... the first 3 options must be set to "ALLOW". When done restart your device.

Regards

Giulio

The only apps that have an Apple icon are the Apple Store (not the app store) and Apple Support. They are apps you have to download from the app store.

Open the App Store and search for Apple Store. This app is for purchasing Apple hardware.