I applied online. The process took 1 week. I interviewed at US Army (Fort Bragg, NC) in Feb 2010
Interview
Applied for the job via the company website in Dec 2009. Recieved an e-mail that resume and application was received the same day. Had a phone call in January 2010 that DFMWR was interested in doing an interview with me. Went to the first interview by the Branch Manager which was successful. Was called for 2nd interview two days later with the immediate supervisor. That was successful and was offered the position a few days later.
Bonus points: your personality and how you can fit the team plus get along with others is heavily weighed. They weren't just looking for someone who knew the job (though knowing the job is very important).
I applied through an employee referral. The process took 1+ week. I interviewed at US Army (Rockville, MD) in Jun 2009
Interview
Current PM found my resume through the MOAA resume bank following a job fair and referred it to heir HR dept. Sat with 4 individuals, 2 Psychology PhDs and 2 higher level project directors. Friendly atmosphere with straight forward process. Benefits package was slightly below average with no short term disability. Office culture did not seem fast-paced or very lively in general. Work experience looked like it would depend greatly on the attitude set by your supervisor.