WestLaw Nextprovides access to the law reporters from the United States, Canada, European and British courts. Also provides full-text articles from a wide variety of law review journals. You can access this from the Library Webpage and click the Database List, then click W.
You can use the free source, FindLaw provides access to most Supreme Court cases and other great resources.
I would warn against going to the general web to search for legal cases. You may find that you are not looking at the full, correct version of a case. Do not PAY to have access to any case - you can access WestLaw off campus and if you have problems finding your case, contact me.