Can I download apps on my Apple Watch if it’s not connected to the WiFi but i got data on my phone on a gps only Apple Watch 7

A web search finds that an Watch cannot use an iPhone's personal hotspot as an internet connection.

M1 Mac mini, macOS 14.5;  Watch, series 7 GPS/cellular, watchOS 10.5; iPhone 12 Pro, iOS 17.5; TV 4th Gen, tvOS 17.5; HomePods, audioOS 17.5 and Airport Express w/ Airplay 2

Is your Apple Watch connected via Bluetooth to your iPhone?

About Bluetooth, Wi-Fi, and cellular on your Apple Watch - Apple Support