I think speamerfam raises an interesting point, and from what I understand, she does not suggest that young adults would be forced into service, as francy17 states, but that they would have the option to go into some kind of service. The incentive for, say, two years, would be some free education. I'm not quite sure how this would work, but I think it's worth exploring.
With that said, I do not think education should be free for everyone. As stated in some of the above comments, the biggest issue would be paying for it- the money would have to come from somewhere. I do, however, think that everyone should have the opportunity to get a higher education if that is what they want, regardless of their socio-economic situation. These opportunities do exist in the form of federal student aid, grants, scholarships, and student loans. Some of this is, in fact, "free money," but it is earned based on merit and need. The loans are not free, and people have to pay them back, as they should.