Yes, however Commencement is only a ceremony and is not the same as graduating from SSU. You will officially graduate after the term has ended and only if ALL degree requirements were completed in time.
If you have not met all degree requirements by your planned graduation date, you must postpone your graduation date by submitting the Graduation Postponement form.
See the official Commencement website for details.
The May Commencement book includes students graduating in the previous Fall, and those who have applied for Spring or Summer. If you are graduating the fall AFTER that year's commencement, your name will appear in the following May's Commencement Book.