One whole month out of college, eh? Took me about one month myself before i landed my first job. I hated it and quit within 3 weeks because it was not a good fit. Took another two months to find the next job and that one, being a good fit, lasted 6 or so months until i was hired away by some of my peers. My point is that you don't have to be in a hurry or become so desperate that this opportunity before you becomes your only hope. It's not. First of all you have all ready admitted you are not even necessarily a qualified candidate for this role -- that does not mean you cannot do the job, it just means that you have other priorities and that is going to be seen in the eyes of an astute hiring manager.
In terms of what to focus on, well ... what technology exactly is this company using and why? Java environments are remarkably different from .Net environments which are in turn remarkably different from CMS environments implemented in PHP. Unless you really want to become a front-end developer, don't you think your time would be best invested in finding a back-end job? If i were a hiring manager looking at your resume, that is the primary question i would be asking you. Are you just here until what you really want comes along?