We reexamine the stochastic gravitational wave background resulting from inflation and its effect on the cosmic microwave background radiation (CMBR). Measurement by the Cosmic Background Explorer satellite of a CMBR quadrupole anisotropy places an upper limit on the vacuum energy during inflation of almost-equal-to 5 x 10(16) GeV. Gravitational waves from inflation could produce the entire observed signal if the vacuum energy during inflation was as small as 1.5 x 10(16) GeV at the 95% confidence level. This coincides with recent estimates of grand unification scales inferred from renormalization-group arguments, for supersymmetric grand unified theories. Further tests of this possibility are examined.