Sign up at local recruiting station. Go to MEPS and they will get a physical on you and you will be in there. Bootcamp is a little difficult but nothing that the average person can’t get through.
I applied through a recruiter. The process took 2 months. I interviewed at US Navy (Washington, DC)
Interview
Phone technical interview on Calculus and Physics 2 Technical Interviews at Naval Reactors headquarters with engineers on the same subjects as phone interview 1 interview with Director of Naval Reactors (Admiral)
Interview questions [1]
Question 1
General questions on Calculus I/II, Physics I/II, and other technical subjects completed on transcripts