  We present early results regarding the morphological and structural
properties of galaxies seen with the James Webb Space Telescope at $z > 3$ in
the Early Release Observations of SMACS 0723, a galaxy cluster at $z=0.39$. We
investigate, for the first time, the optical morphologies of a significant
number of $z > 3$ galaxies with accurate photometric redshifts in this field to
determine the form of galaxy structure in the relatively early universe. We use
visual morphologies and \textsc{Morfometryka} measures to perform quantitative
morphology measurements, both parametric with light profile fitting (S\'ersic
indices) and non-parametric (CAS values). Using these, we measure the relative
fraction of disk, spheroidal, and peculiar galaxies at $3 < z < 8$. We discover
the surprising result that at $z > 1.5$ disk galaxies dominate the overall
fraction of morphologies, with a factor of $\sim 10$ relative higher number of
disk galaxies than seen by the Hubble Space Telescope at these redshifts. Our
visual morphological estimates of galaxies align closely with their locations
in CAS parameter space and their S\'ersic indices.
