The transverse momentum and total cross section of e^+e^- pairs in the Z-boson region of 66 < M_ee < 116 GeV/c^2 from ppbar collisions at sqrt s = 1.8 TeV are measured using 110 pb^-1 of collisions taken by the Collider Detector at Fermilab during 1992-1995. The total cross section is measured to be 248 +/- 11 pb. The differential transverse momentum cross section is compared with calculations that match quantum chromodynamics perturbation theory at high transverse momentum with the gluon resummation formalism at low transverse momentum.