from a probabilistic perspective, 2d quantum gravity is the study of natural probability measures on the space of all possible geometries on a topological surface. one natural approach is to take scaling limits of discrete random surfaces. another approach, known as liouville quantum gravity (lqg), is via a direct description of the random metric under its conformal coordinate. in this talk, we review both approaches, featuring a joint work with n. holden proving that uniformly sampled triangulations converge to the so called pure lqg under a certain discrete conformal embedding.