You have a "right" to see your LORs unless you waive that right. I think that right comes from FOIA, but I'm not sure. Supposedly, if you didn't waive that right, you can go to administration after you've been enrolled in a school and they have to show you a copy. Unfortunately, LSAC requires you to waive it if you use their service and most schools "strongly encourage" it. If you don't waive, the Adcomm puts less stock in the LOR since they assume you reviewed it first before submission.
You can try asking your recommender for a copy, but I've known some to be offended by the question and a few that will refuse to write one if you insist on seeing it first. Some professors will provide you a copy of the LOR, even without you asking, but that seems pretty rare. The best thing you can do is "coach" your recommender. Montauk's "How To Get Into A Top Law School" has a great section on this.