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.
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.