On the Apple website it is a bit confusing but there is not really a specific Apple website where you can see the App Store for iOS or OSX. You click the search icon on the toolbar and enter in a word or term but it doesn't work as you might expect and often does not find an app which you might be looking for.
You really have 2 options
1. Use an alternative website like FND - https://fnd.io/#/us/search?mediaType=all&term=Weather
This website indexes the Apple iOS App Store and allows you to find apps without iTunes
2. On an OSX computer use iTunes (as John Hurst mentions) to search for iOS apps or use the App Store application to search for OSX applications
Richard Korts
ASKER
Why does "App Store" appear as an icon on my phone?
FYI, I used my iPad, went to the store & there IS a search, upper right.
You really have 2 options
1. Use an alternative website like FND - https://fnd.io/#/us/search?mediaType=all&term=Weather
This website indexes the Apple iOS App Store and allows you to find apps without iTunes
2. On an OSX computer use iTunes (as John Hurst mentions) to search for iOS apps or use the App Store application to search for OSX applications