When the quarter starts, all of your current published classes should appear on your Dashboard. However, instructors are not required to use Canvas and any "unpublished" courses will not show on your Dashboard. 

To see a full list of your courses, click on the Courses icon and then choose the "All Courses" link to see all of your enrollments.

Courses from the current term will be listed at the top. Future enrollments for the upcoming term will be at the bottom of the screen. Courses in which you are enrolled in Canvas but have not yet been published by the instructor will show with the "unpublished" label. Check with your instructor as to whether they plan on using Canvas for that course.