Summary: The general theory of \(N=1\) supergravity with supermatter using a canonical approach is described. The supersymmetry and gauge constraint generators are presented. The framework is applied to the study of a Friedman minisuperspace model. We consider a Friedmann \(k=+1\) geometry and a family of spin-0 as well as spin-1 gauge fields together with their odd (anti-commuting) spin-1/2 partners. When both the spin-1 field and its fermionic partner are set equal to zero, the physical states of our simplified model correspond effectively to those of a mini-superspace quantum cosmological model possessing \(N=4\) local supersymmetry coupled to complex scalars with spin-1/2 partners. The different supermatter models correspond to different Kähler metrics. For The class of spherically symmetric and flat Kähler geometries the general solution for the quantum state have a simple form. However, although they allow a Hartle-Hawking solution, they do not permit a wormhole state.