If you are a Team Member, natively you will have access to all Projects within the Team. You can comment/annotate on the projects, add files, move files, delete files, add collaborators, etc.
However, if you want to receive notifications for this project, you must be added to the project.
Inviting yourself to a Project
While having the project open (not the player of a clip opened), clickAdd Collaborator, enter your email address (not your name) and click invite.
Once you refresh the screen, you will be on the project.