Joy
(@joyously)
These are not WordPress questions.
But I think you are confusing a user name with a domain name.
You have user names so you can log in to different places. One is your hosting control panel, which is separate from your WordPress admin, which is separate from your Google account where you see whatever Console.
If you have your site at the link you gave, you have a domain name registered and everyone can find your site. Now Google might have a separate thing you have to do for them to verify that that domain name belongs to your user name that you use to log in to Google. It usually involves putting some code in the header of the site so they can verify it’s you. It’s like answering the phone with correct secret password.
You will have to edit the theme header or use a plugin to get it in there.
You can see if your gmail account is associated to your website domain by following this process :
https://support.google.com/webmasters/answer/9008080?hl=en
As Joy metioned, there are a few methods :
https://kinsta.com/blog/google-site-verification/
Thanks, I went to Jetpack and they steered me right. Thank you!