Current Google Apps are not compatible with the iPad mini1 - this iPad being limited to iOS 9.3.3/4.
Google’s Apps generally now require iOS/iPadOS14 or later. The Gmail App is an exception with lower minimum system requirements - this being iOS12 or later.
While Google’s Apps cannot be used with the iPad mini1, you should still be able to successfully set-up your Gmail account to be used with the native Apple Mail App. You will, however, have to use an App-specific password.
As for other “free” email providers - such as Yahoo, AOL and Microsoft - you’ll encounter exactly the same issues when using third-party Apps. Similarly, you should be able to set-up email accounts for each of these in the native Apple Mail App - but will also require an App-specific Password:
Add an email account to your iPhone, iPad, or iPod touch - Apple Support
Information about AOL’s App Specific Passwords can be found here:
https://help.aol.com/articles/allow-apps-that-use-less-secure-sign-in?guccounter=1
For Yahoo, more information can be found here:
https://help.yahoo.com/kb/SLN27791.html
For Gmail:
https://support.google.com/mail/answer/185833?hl=en-GB
Microsoft:
https://support.microsoft.com/en-us/account-billing/using-app-passwords-with-apps-that-don-t-support-two-step-verification-5896ed9b-4263-e681-128a-a6f2979a7944