  In this paper we introduce and study Carleson and sampling measures on
Bernstein spaces on a class of quadratic CR manifold called Siegel CR
manifolds. These are spaces of entire functions of exponential type whose
restrictions to the given Siegel CR manifold are $L^p$-integrable with respect
to a natural measure. For these spaces, we prove necessary and sufficients
conditions for a Radon measure to be a Carleson or a sampling measure. We also
provide sufficient conditions for sampling sequences.
