Public group (support@mydomain) sends copy to all support users. If support user 1 sends a response, will support user 2 see it?

Public group (support@mydomain) sends copy to all support users. If support user 1 sends a response, will support user 2 see it?

I have support@mydomain set up as a public group that includes two support people. If an email is sent to support@mydomain and support #1 sends a reply, will support #2 see that the email was already taken care of?