The big difference between under graduate and graduate work is the following: graduate students generally enjoy a much closer relationship to their professors than undergraduates. There are far fewer graduate students than undergrads and you get to take advanced courses in subject areas that are of great interest to your professors. In addition, you get a chance to conduct original research under the tutorship of your sponsoring professor. I found this to be the most interesting aspect of my entire college career. If you consider undergraduate work as an introduction to your chosen career, graduate work allows you an insider's view of your profession.
Often for a Masters Degree you are given a choice between a research project or the option to take a comprehensive test. I strongly recommend that you opt for the research approach. It will make your graduate work far richer and your research is a great topic to discuss at any job interview, afterward!
Peter recommends the following next steps:
- Try to find a graduate professor who is engaged in research on a topic of interest to you.