They contact you by phone, sometimes to ask a few questions and to describe the job. If you are qualified (doesn't take much) they will bring you in for an in person interview. If they like you, they will bring you in for a second interview. From there, it is a very quick process to get hired (just depends on when the background check comes back). UPS does not hire until it is a necessity, so the process is very quick because they need you!