Email sent to your @Maine.edu address can be forwarded by adjusting the settings in your Gmail account.
Please refer to the Google support page to Automatically forward Gmail messages to another account.
Note: If you have previously forwarded your mail to an address outside of maine.edu, you may see your Gmail is forwarded to yourself @f.maine.edu. This is a result of migrating forwards into Gmail. Manage your forwarding according to the instructions above to forward mail directly (not using f.maine.edu) to the address you wish.