I applied in-person. The process took 2 weeks. I interviewed at Publix (Cary, NC) in Sep 2014
Interview
I applied at an application fair that Publix was holding. It was held in a hotel lobby as the store was not finished being built. Within 72 hours of applying, I was called by Publix to set up an interview time. I then went for my interview. Within 48 hours of the interview, I was asked to come back for a second interview to complete the hiring process.
Interview questions [1]
Question 1
What would you bring to the table that would benefit Publix?
I applied in-person. I interviewed at Publix (Atlanta, GA) in Apr 2011
Interview
The interview wasn't particularly difficult at all. Getting a job at Publix, unfortunately, is based more on the people you happen to know and not actual credentials. Be punctual though, as retail positions rely on punctuality.