Notifications are now available out of the box in Project for the web and Roadmap:
Receive emails when:
- Someone assigns a task to me
- Some adds me to a project or roadmap
To ensure the notifications are turned on, access Project Home then the settings cog in the top right corner:
Click “Notification settings” and the modal below will display:
A blog post from Microsoft that highlights this new feature can be found here.
Another nice addition to Microsoft Project!
Modern Work Management - Project and the Power Platform blog 