  Radiative corrections to the electron recoil-energy spectra and to total
cross sections are computed for neutrino-electron scattering by solar
neutrinos. Radiative corrections change monotonically the electron recoil
spectrum for incident \b8 neutrinos, with the relative probability of observing
recoil electrons being reduced by about 4 \% at the highest electron energies.
For $p-p$ and $\be7$ neutrinos, the recoil spectra are not affected
significantly. Total cross sections for solar neutrino-electron scattering are
reduced by about 2 \% compared to previously computed values. We also calculate
the recoil spectra from $^{13}$N and $^{15}$O neutrinos including radiative
corrections.
