I've started to use my @sonic.net email address for email but have old email still in GMail. Is there any way to import the GMail emails so that they would be in my sonic email account?
You can but it depends on how you use the email first.
There is currently no option to import from regular webmail from the website.
If you have a email client such as outlook there is an import tool to do that. You can find that here : https://support.office.com/en-ie/articl ... 04b9c44bf7
I believe other email clients do this as well and a google search should bring up how to do that.