I applied in-person. The process took 1 day. I interviewed at Hy-Vee (Bloomington, IL) in Jan 2015
Interview
The interview process was fairly easy, if you prepare for it. This was for a new store and so they were interviewing a lot of people at a time, making you feel a little more pressured. This of course may vary with the personality of the hiring manager that you see for your interview. This was a job-fair type deal because it was an opening store and I had to go through three different interviews and submit a drug test. I'm unsure if you will go through three people if it's an already-existing store but I highly recommend that you're honest, keep your cool, and mention positive aspects about your work ethic.
One interview with HR manager followed by a follow-up drug screen. Overall interview was basic information like employment history, what you are excited for followed by an expectation of hours worked and such.
Emailed me to come in, and then we went over basic interview questions - who are you, why do you want to work here, what are your skills, what are your plans. It's a grocery store, after all
The Hyvee interview process was quick and easy. It was low stress, relaxed, and space was allowed for questions. Hiring manager asked intriguing and important questions that required you to know what they were about and the type of employee they are looking for--a team player.