i think you need to focus on law things, like joining the law society, voluntering for legal aid (if you can do that so early in your degree?), trying to get work your work experience up as much as possible. There is a girl studying law at bristol who pops into this postgrad section - try going through the old posts about law and finding her name, she seems to know a lot.
I agree with Angelil but I wouldnt subscribe to a journal - they can cost hundreds of pounds a year, you need to simply use your library and online subscription. Infact, Id be suprised if you dont come across journals being a law student anyway - my degrees have always depended on recent research in the arts and social sciences. Internal conferences and internal publications (if they exist at your uni) are great - but I dont think you will get published in a well known law journal. my papers are starting to get published (im a phd student not first year undergrad) but the competition to get published is seriously fierce since your paper has to be of a good academic standard like the lecturers and profs at your uni (and plenty of lecturers and profs get their papers rejected each year!).
Good grades, work experience, become knowledgeable in your own field where you want to study a masters/phd, show you are enthusiastic and build your cv. 2-3 years is a hell of a long time to do this and many law students have a glowing cv on graduation (because competition is tough).