You can decide if you want to get email notifications about updates to your classes.
Please see here the official Google Classroom help documentation if you would like to manage your classroom notifications:
https://support.google.com/edu/classroom/answer/6141557?hl=en&co=GENIE.Platform%3DDesktop#zippy=%2Cturn-email-notifications-on-or-off%2Cturn-all-notifications-on-or-off-for-a-class