Hi Abigail, congratulations on your diploma!
The UX world is still all very shiny and new, and still growing at an incredible rate. Whether you go back to school or go into the workforce is a matter of preference, but it's never too early to get into the workforce. It sounds like you're a natural academic, so if you learn well in a school setting and have the opportunity to learn more, that knowledge will never go to waste.
However, trends and knowledge in the UX workforce tend to consistently outpace curriculums, so usually you'll learn more up-to-date knowledge by doing... Either way, the market isn't going anywhere so if you went back to school it wouldn't be time wasted.
All the best!