The CDF Run I B physics program has been very successful, making numerous measurements over a wide variety of B physics topics. Measurements have included masses and lifetimes; discovery of the B(c); B_s --> J/psi phi polarization; B0 <-> B-bar0 mixing; sin (2B); and rare decay limits. Recent results include a search for Delta_b --> Delta gamma and a study of B0 --> J/psi K(*)0 pi+ pi- decays. The tools and experience developed during Run I are quite valuable as CDF enters Run II.