The Law Students would normally jump at the chance. Experience is key. However, in most states the Law Student needs to 1) be supervised by an attorney, and 2) be a certified student attorney.
To be a certified student attorney, it needs to be shown that they are working for X firm, corporation, LLC, LLP, ect.
Sort of. The services are provided through a law clinic that is connected with the school. Any law student needs to be supervised by a licensed attorney with a certain number of years of experience. So random law students can't just go out and start taking on cases.
If you live near a law school, give them a call and see if they have a clinic available. It is true that sometimes these will take on cases free of charge, but they might also charge a nominal fee.