mail from my gmail account shows up in Gmail but not in Apple Mail on my MacPro
how to have mail show up in Apple mail instead of going directly to Gmail
MacBook Air 13″, macOS 11.1
Is your gmail account an IMAP account?
Is your gmail account set up in Mail?
You can't have a gmail addressed email not go to gmail. You can access the email from any email client configured to access your gmail account and your gmail account is an IMAP account.