Lincoln never completed any formal schooling as we know it- less than one year total. College and law school was out of the question.

"His stepmother doubtless encouraged Lincoln's taste for reading, yet the original source of his desire to learn remains something of a mystery. Both his parents were almost completely illiterate, and he himself received little formal education. He once said that, as a boy, he had gone to school “by littles”—a little now and a little then—and his entire schooling amounted to no more than one year's attendance. His neighbours later recalled how he used to trudge for miles to borrow a book. According to his own statement, however, his early surroundings provided “absolutely nothing to excite ambition for education. Of course, when I came of age I did not know much. Still, somehow, I could read, write, and cipher to the rule of three; but that was all.” Apparently the young Lincoln did not read a large number of books but thoroughly absorbed the few that he did read. These included Parson Weems's Life and Memorable Actions of George Washington (with its story of the little hatchet and the cherry tree), Daniel Defoe's Robinson Crusoe, John Bunyan's Pilgrim's Progress, and Aesop's Fables. From his earliest days he must have had some familiarity with the Bible, for it doubtless was the only book his family owned."

The above was from the Biography channel's website. There is much more there about Lincoln.

Lincoln did not go to law school. Back in the 1800's it was possible (and rather common) to become a lawyer through self study of the law and appenticeship. This was sometimes referred to as being a "country lawyer" or "prairie lawyer".