We present a measurement of Z^0 boson and Drell-Yan production
cross sections in pbar p collisions at sqrt s = 1.8 TeV using a sample of 107
pb^-1 accumulated by the Collider Detector at Fermilab (CDF).  The Drell-Yan
cross section is measured in the mass range of M_mu mu > 40 GeV/c^2.  We
compare the measurements with the predictions of Quantum Chromodynamics in
both leading order and next-to-leading order, incorporating the recent parton
distribution functions.  The measurements are consistent with the Standard
Model expectations.