By default, Brightspace will send you the following notifications to your RDP email:
You can customize which email notifications you receive by accessing your Notifications settings.
To access your notification settings:

The Summary of Activity provides a complete email summary of activities for each of your courses.
You can set the frequency of this email to:
These are email notifications for important items such as:
You can select which Instant Notifications you wish to receive by checking/unchecking the boxes. Several notifications have been selected by default.