In this thesis, we study transport properties of superconductor/graphene systems. The main purpose is to study Andreev reflection between graphene and superconductor. In particular, our study is focusing on integrating graphene with a high-temperature superconductor such as YBCO and EuBCO. We have observed possible evidence for Andreev reflection between graphene and EuBCO. We also attempt to combine an iron-based superconductor, such as FeTeSe, with graphene so as to study how a non-uniform magnetic field can affect the transport properties of a graphene flake. It is predicted that anyon statistics can be observed even in the weakly interacting regime. Our new experimental results may well represent the first experimental realization of combining a high-temperature superconductor with graphene.