While you cannot see your child's assignments unless you are logged in as your child, you CAN request to be a "Guardian" on your child's Google Classroom account. You would need to request that one of your child's teachers add you as a Guardian, then watch for the email inviting you. If you have a Gmail account, you can set up your notifications to come daily or weekly (your choice, but I recommend daily right now as weekly notifications may come to you after the due dates have passed).
You only need to be added by one teacher, and you will automatically be a Guardian on EVERY CLASSROOM that has enabled Guardian access.
Here is a link from Google Support for more information: