We report on the first measurement of the rapidity distribution dσ/dy over nearly the entire kinematic region of rapidity for e+e- pairs in both the Z-boson region of 66<116 GeV/c2 and in the high mass region of Mee>116 GeV/c2. The data sample consists of 108 pb-1 of pp¯ collisions at s√=1.8 TeV taken by the Collider Detector at Fermilab during 1992–1995. The total cross section in the Z-boson region is measured to be 252±11 pb. The measured total cross section and dσ/dy are compared with quantum chromodynamics calculations in leading and higher orders.