Zeta,
There's a good deal of solid advice and anecdotes already so I'm not going to elaborate on any of them. Thing is, unless you're already loaded or your parents are well connected or blind luck causes the rainbow to end in your lap, no matter what you've gotten your degree in the only person able to make a place for you is you. Colleges and Universities are notorious for only giving students the 'academic' basics of an industry. Most curriculums are based upon being 'accredited' which is the college version of a 'seal of approval'. Unfortunately, to be academically accredited has nothing to do with being 'practically trained'. Colleges figure you'll get your real training when you get out on the job. All they are required to do is teach you the basic terminology and techniques of a given industry.
Now, is having that knowledge a bad thing? Absolutely not. If you can get an education, get it. Your degree will give you other highly valuable skills like writing for example and depending on what other subjects you studied a reservoir of knowledge that will come in handy when you least expect it. Those are the only real advantages of having a degree. You'll still have to get your 'hands dirty' and do grunt work like fetching coffee, logging footage and carrying gear. There's not a whole lot of opportunity to get out of doing that. While you're doing that stuff though, keep your eyes and ears open, ask questions whenever you can and make yourself available as you can. You'll find that having those additional skills will come in handy and get you work though it may be an indirect path to what you want to do.
Also, there are many different aspects to filmmaking as it is a collectively created artform. Yeah you can do it all yourself with your own gear these days, but it's hard and if you want to do large projects, you're going to need other people. Others have suggested you figure out what it is you want to do, that's a damn good suggestion. Scriptwriting is the genesis of any project, producing (despite what some may say in these posts) involves far more than just 'finding money' and is an artform in itself and no film gets made without it, directing (other than acting) is the most glamorous portion but carries the greatest weight of responsiblity as it gives the project it's visual and audio direction. After those you have Director of Photography which is the most critical part of the production and carries a similar weight as the Director (no pictures, no movie), Camera Person, Sound Designer, Grip, Gaffer, and Editor in my view the most difficult, thankless and most important position as the Editor 'crafts' the movie into its final form. Outside of those, there are tons of other supporting gigs that can be applied to the smallest corporate video to the biggest Hollywood production. So again, whaddaya' wanna' do?
I got into this biz indirectly. I had an art degree and when some set up gigs to work as an illustrator tanked, fortunately I had other skills to fall back on. Eventually, I joined the service as a photographer and then became a videographer. When I got out of the service, I was back at square one just like when I got out of college. Despite having terriffic skills and experience, nobody wanted to hire me. So I chewed the bullet so to speak and started my own company which I had intended to do when I trained as a videographer. Starting your own freelancing gig may be your best option and it may not. Whatever you decide, you best be prepared to roll up your sleeves and be prepared to 'throw some bows' because nobody's going to give you anything. There will be people who will help you along the way, but only because they see you bustin' your butt.
You are in this at a good time though. If you can lay down a 'regular gig' to keep a roof over your head and put food on the table, if you tighten your belt a bit you can save enough scratch to get gear. That's how a lot of us did and do it. At least you're not in the era when a videocamera cost $40,000.00 just to look at it (unless you're looking at a RED ONE!) Do not despair young one. If this biz is what you really want to do, you'll find a way to do it and that's for certain.
