I can't give you exact dates, but I can tell you this...
Last October my sister moved from Georgia to Alabama. She contacted the AL Board of Nursing on their web site, downloaded the application and found all the other information she needed to apply. It took about 3 weeks from when she mailed everything. They have to contact the board of nursing where your other license is and your nursing school for other records. CEUs are required to obtain an AL license too.
Just be sure you fill out everything correctly. Fortunately they have an e-mail address linked to their web site and they answer in a timely manner... according to my sister.
Good luck! And we hope you enjoy nursing in Alabama.
(By the way, I didn't request a temporary permit, just a regular license. It took about 3 to 4 weeks for mine to come. I'm not a recent grad and neither was my sister, so I don't know how much help my input is for you here...)