By using quantum tunneling radiation method and generalized uncertainty principle (GUP), we discuss phase transition and modified entropy of a quantum corrected Schwarzschild black hole. Notably, the phase transition occurs when the size of black hole is of the order of the Planck scale, which indicates that GUP has a great effect on the thermodynamics. It can prevent the black hole from evaporating completely, resulting in a stable remnant. Besides, the modified entropy is also discussed by imposing GUP. After analyzing the relation between temperature and entropy, we can find that GUP also results in the existence of the minimum of entropy.