- you can search/view email subjects (but not content)
- you can delete individual messages
- you can block emails matching certain criteria (like sender, etc)
- you can use advanced routing to route all mail through your own mail server, which would give you full access to message content, the ability to modify incoming messages on the fly, etc.
You could create a gsuite account for $5 and play around with it for a month, then cancel your account.