Getting in to any area of journalism is a bit of a bull pen (I'm approaching the end of a journalism university course myself, and find the prospect very daunting).
The best advice I can give you initially is read these two brilliant features:
Guide to games journalism staff position
Guide to games journalism freelance
Both are good starts, with some great advice. Also, if you do not already have one, start up a gaming related blog to show off your writing abilities. I have one that I update every week (see below if you are interested, or have a spare five minutes) that goes on my CV to show potential employers that I am committed to writing a decent blog every week come hell or high water.
Whilst having a degree on a piece of paper looks nice, most employers look for a sign of skill and dedication when considering who to employ (or so I am told).