In "Matrix Algebras Converge to the 2-Sphere for Quantum Gromov Hausdorf Distance," Marc Rieffel proved that for any coadjoint orbit of a compact, connected, semisimple Lie group, one can construct a sequence of matrix algebras that converge to the coadjoint orbit in quantum Gromov-Hausdorf distance. The main tool in his construction is Berezin quantization. In this talk, I will discuss how to do Berezin quantization for "coadjoint orbits" of compact quantum groups, and how to demonstrate these spaces as limits of finite dimensional compact quantum metric spaces.