You can set up an alias very easily:
EDIT: In case that link changes or is removed here are the basic steps to make an alias. See link for additional resources (from Google)
Send emails from a different address or alias
If you own another email address, you can send mail as that address. For example:
Yahoo, Outlook, or other non-Gmail address
Your work, school, or business domain or alias, like @yourschool.edu or email@example.com
Another Gmail address
Tip: You can send emails from up to 99 different email addresses.
Step 1: Add an address you own
- On your computer, open Gmail. In the top right, click Settings
and then See all settings.
- Click the Accounts and import or Accounts tab. In the "Send mail as"
section, click Add another email address.
- Enter your name and the address you want to send from. Click Next
Step and then Send verification.
- For school or work accounts, enter the SMTP server (for example,
smtp.gmail.com or smtp.yourschool.edu) and the username and password on that account
- Click Add Account
Step 2: Confirm the address
Step 3: Change the "From" address
In the message, click the "From" line. (If you don't see this, click
the space next to the recipient's email.)
Select the address to send from
Set up Email Forwarding on the Domain
From Google Domains, go to Mail and then look for Email Forwarding
Click on Add email next to the desired domain, type in the alias you want to create, and enter the existing email you want to forward to
Click the Add button
You should get a message about the setup, check your Gmail inbox for that when done