No, during the course of John Steinbeck's Of Mice and Men, George does not get to see his much-cherished dream come true, although he comes tantalizingly close to it. He, Lennie, and Candy- who had agreed to give George $350 of the $600 needed to purchase the farm- had been discussing their dream enthusiastically.
However, in a typical moment of not knowing his own strength, Lennie accidentally kills Curley's wife. He flees the farm to the place where he and George had agreed to meet in the event of trouble. George, seeing no better alternative in light of Curley's baying for George's blood, follows Lennie and shoots him dead.
George then sits down on the bank, absolutely devastated by what he has had to do. There is no further mention of his dream of having his own land.