We present the latest results from the CDF experiment at the Tevatron Collider in p anti-p collisions at s**(1/2) = 1.8 TeV. The large data sample collected during Run I, from 1992 to 1995, allows measurements in many domains of high-energy physics. Here, we report on the first measurement of sin(2Beta), a CP violation parameter, and on an improved measurement of the top quark cross section. We also report on searches for the so-far elusive Higgs boson, and for SUSY, through searches for direct production of top and bottom scalar quarks. Finally, we outline the prospects for the physics during the upcoming Run 2, ready to start in the upcoming year 2000.