Quantum supergravity may be described in terms of the amplitude to go from data given on an initial spacelike hypersurface to data on a final surface, instead of the usual S-matrix formulation. One might expect this description to involve more infinities than the usual one, since additional counterterms might be formed from data on the boundary surfaces. Such counterterms are constrained by the supersymmetry of the theory, and it is shown that there are no on-shell local counterterms formed from surface data up to 2 loops in N = 1 supergravity, in contrast to the large number of such possibilities in quantized general relativity. Volume counterterms must also be supplemented by surface contributions, because of the supersymmetry requirements. Although it is conceivable that this might restrict allowed volume terms, this is shown to be unlikely, since surface partners may always be found for volume terms when one works at lowest order in weak fields and considers only the appropriate rigid supersymmetry transformations.