You have to apply online using their in-house staffing system (BESS). Resumes are screened by software before being forwarded to managers, so pay close attention to the job description and make sure your resume addresses all points.
Structured phone interview -- they ask all candidates the same questions, then they give you an open-ended opportunity to ask questions. You may not have direct experience relating to the interview questions, but answer them as best you can. The open-ended portion is where you have an opportunity to stand out.
Keep following the staffing website -- most communications happen there. If you receive and accept an offer, you will have to go through a set of contingencies (drug screening, background check, etc.). Once that is cleared, you will be given a start date -- two actually, a brief pre-employment processing on a Wednesday to clear final paperwork and have your badge photo taken, and your orientation date the following Friday, which is your official start date.