I applied online. The process took 2 months. I interviewed at Verizon (Piscataway, NJ) in Mar 2014
Interview
Pretty lengthy interview process for an internship...2 phone interviews and 2 in-person interviews. Other internships in my department didn't have as many though. There were a lot of behavior based questions (it seems like a big part of the interview is seeing if you'd fit in) and "target" questions.
Had a phone interview with a third party called Workplace Group. Standard behavioral questions. Very basic. Went on for 20-25 minutes. Still waiting for an email from Verizon!