Qualifications
If you're looking to catch the buzz on beekeeping, there are educational and qualification programs in many states—especially those which employ the highest number of beekeepers. That's California, New York, and Pennsylvania if you're wondering (source). You can also visit the EAS Master Beekeeping Certification program site where you can apply for a certification exam online.
If you're hoping to work for a large organization, taking workshops, having your own backyard hives, and participating in an internship will look great on a résumé.
If you want to start your own small business, however, the requirements are much lower. Having a bit of land and the means to pay for the tools and needs of the bees, as well as having some workshops under your belt, is about as qualified as you can get. Practice makes perfect.