The one thing I would ad to mqt's advice is that you shouldn't just come out and ask him for a job. People don't liek to feel like you're looking for nothing but a handout. Frame it as looking for information on the profession, the path of his career, and advice on how to tackle law school and/or the job search. Most people are savvy enough to know that you're also implicitly asking for help with finding a job, so its not something that needs to be said.
Very, very well said. Networking is a process, and by getting to know people, it pays off over time, not after 30 minutes. When you network, everyone understands that you are ultimately trying to secure a job. Believe me, if they do have something to offer you that will help, they will offer it ("Hmmm, send me your resume, because I know a guy at firm xyz who I think might be interested in someone like you.").
...Oh, for that matter, have your resume available, but don't offer it...they will ask. This may not be universal, but I've found in 90% of the situations, the person asks for it after talking with me. I think it's a bit presumptuous to push it on them unsolicited.