I got a 30 day permit in place of my driver's license. Does this mean my license has been suspended?

No...or not yet.  The permit the officer gave you is a sworn report to the DMV requesting your license be suspended administratively for a minimum of 1 year.  You have thirty days from the date of your arrest to appeal this report and request an administrative hearing.  If you do not request a hearing in thirty days, you license will be suspended automatically on the 46th day after your arrest.  Filing an appeal makes a popstponement possible and can possibly keep a suspension from happening at all.  The hearing is separate from any criminal hearing and its sole purpose is to determine whether or not your driving privilege is suspended and not to determine your guilt or innocence of the DUI.