For the always free option you get a public IP and have a limit of 2 cores and 1gb of RAM with .5gb bandwidth. Not sure what that later part means.
I set it up and decided that I didn’t like the crappy hostname. I set out to change that.
Go to the burger menu on the left and click “Compute”, then “Instances”, then “Instances Details”. Then click the edit button and change the instance name.
Once changed you can then reboot the instance. When it comes up it should have the new hostname.
I also edited the /etc/hostname file and changed it to the name that matched what I put in the webUI.