We present the first general measurements (invariant-mass,
transverse-energy, and angular distributions) of the process, pbar p -> gamma
+ 2 Jets _ X, using data collected by CDF at Fermilab.  We compare the data
with predictions from a tree-level QCD calculation and the PYTHIA shower Monte
Carlo.  Our data sample is particularly sensitive to contributions from
initial- and final-state radiation of photons and jets.  Using the PYTHIA
Monte Carlo, we contrast the kinematical distributions for direct photon
production with those for initial- and final-state photon radiation
(bremsstrahlung).  Based on the angular distributions, we find that our data
favor a mixture of bremsstrahlung and direct photon production, as predicted,
over either process alone.