I just wanted to weigh in with my experience thus far.
I got an e-mail from career services or something similar from my school, CSU, on April 3rd. I applied later that day, and got an e-mail April 7th titled "Apple At-Home Advisor Position Next Steps". In this e-mail I was instructed to answer a questionnaire, upload a transcript, and it recommended that I attend a webinar on the position, which I did.
On April 11th I attended the seminar, and later the same day I got an e-mail to schedule an interview, which I scheduled for the 16th at 4PM CST, it was the only time that worked within my schedule, they only gave around 10 time slots over the course of two consecutive days. It was a FaceTime interview that lasted exactly 30 minutes, and it was the only one in the process. They offer phone interviews and the might even offer Skype option, but I'm not sure about that. I was told that I would hear back in 2 weeks and that it was the only interview in "our process", so it's interesting that you all keep mentioning multiple rounds of interviews.
I heard back in 3 weeks, on May 8th, with an e-mail titled "It's time to complete your Apple Application" where I basically had to fill out the entire application again. This might be because most of my previous application was from a previous application in 2010 for a Genius Bar position. As a side note, though I applied for Genius Bar, they didn't tell me until I arrived at the seminar/interview that I was actually being interviewed for a sales position.
Anyhoo, on May 9th I got information from HireRight on submitting for a background check which I filled out the same day. I got a call from what I assume was a recruiter on May 20th with information about the job. They told that this year the interview process or something was delayed so training would start later and be part time instead of full time. She asked if I was okay with the pay of 11.25$, covered the job requirements which require faster internet (I think) because they no longer require a landline phone. I was told when to expect my equipment and given windows for training.
So all in all the process involved a small bit of paperwork, one 30 minute interview, and a month and a half of nail biting and waiting. All in all it was a great experience and I look forward to the job. My interviewer was a great woman, really personable and she was able to answer all my questions. I look forward to finally working with people who know their stuff.
EDIT: I just finished reading some more threads. My degree is in Psychology with an Industrial/Organizational concentration and I have no tech experience, however I got an A in my entry level CS class so maybe they saw that on my transcript. I would be interested to know the GPA and IT/CS grades of anyone who was required to take the tech test. It's possible, though I'm unsure how probable, that certain GPA levels exclude people from the second or third round of interviews and/or the tech test. My GPA is 3.86 so if people are willing to post their relevant info, perhaps we can suss out the protocol for what interview meausured are required.
Also I start July 14th as well, I was given an option for 4-8pm MST or 5-9 MST. Unfortunately I don't recall which one I picked, though I think it was the earlier one so I wouldn't be nearly as tired.
P.S. It looks like a lot of us joined the forum this month to talk about the job, interesting.