Note: this option will be closed by Google in August 2019. The instructions below are therefore CANNOT more applicable. Google advises you to use from now on YouTube for Artists.
You can claim your own store page on the Google Play Artist Hub Google Play Music. You can then personalize this page. To be able to use this option for free, at least one of your releases must be published on Google Play Music. You may be asked for credit card information to verify your identity.
- Go to music.google.com/publish.
- Log in with the Google account with which you want to manage the page.
- Follow the further instructions and accept the 'terms of service'.