I am pretty sure Princeton doesn't let people take classes for credit unless they have applied as a regular student (they don't accept transfers) and enrolled for four years. I know that there are some exceptions for members of the community (mainly auditing) or university employees (not sure of the guidelines for this one). If you are working there in an academic capacity you may be eligible for special guidelines that I am not aware of. The general sequence is similar to below, with obvious adjustments made for personal schedule, AP credits, etc:
1st Year: Fall and Spring: Inorganic Chemistry (CHM 201-2 or 203-4 or "Turbo Chem" [maybe 205? I think you can test into this condensed course with an Chemistry AP "5", or even into a higher level inorganic]...2 semester equivalent of info in one semester;
Fall: Ecological and Evolutionary Biology EEB 211(?)...never took this one (an Biology AP "5" will get you out of it) so I am not sure about the number, but it is the one listed in the coursebook as being sufficient for med school;
Spring: Molecular Biology MOL 214 (you cannot test out of this one)
Fall and Spring: Math 103-4 (calculus I and II; can test out with AP test results ("4-5" in Calc AB/BC) if you proceed to take statistics [I think?] or a higher-level math such as multi-variable calculus or linear algebra)
2nd Year: Fall and Spring: Organic Chemistry (301-2 or 301-2x...not sure if they're still called that but the "x" is a PBL-type learning setting)
3rd Year: Fall and Spring: Physics (101-2 or 103-4...the higher numbered course is calculus-based physics and you need to know multi-variable calculus to be successful; not sure about AP "5"s)
FYI: Ivy league "grade inflation" does NOT include Princeton pre-med courses. Some semesters these courses are curved to a B-/C+ average.