Two-photon Bragg scattering is a pivotal technology for coherent momentum transfer in atoms, utilizing a pair of counter-propagating laser beams. It is widely applied in the selection of atomic momentum, beam splitting, and coherent manipulation of atoms. In this work, we systematically investigate the coherent oscillation dynamics of two-photon Bragg scattering within a ¹³³Cs Bose-Einstein condensate (BEC) under a non-interacting condition. We studied the dynamics of two-photon Bragg scattering oscillation in a Bose-Einstein condensate of non-interacting cesium atoms. By using Feshbach resonance technology to quench the scattering length of ultracold cesium atoms to zero, a pair of counter-propagating Raman laser pulses coherently drove the condensate to oscillate between the momentum states |g, 0〉 and |g, 2ħk〉. Through absorption imaging after time-of-flight expansion, we directly observe periodic population oscillations between these two momentum states. A sinusoidal fit to the oscillation dynamics yields a Rabi frequency of 615(13) Hz and a coherence time of 4.1(2) ms. We further establish a linear relationship between the square of the measured Rabi frequency and the intensity of the Bragg lasers, confirming the system operates within the weak-driving regime described by the two-level Rabi model. Moreover, the dependence of the effective Rabi frequency and the oscillation amplitude on the two-photon detuning is quantitatively characterized. By eliminating interatomic interactions, we provide a clear experimental data free from mean-field shifts and complex many-body effects that are inherent in previously reported studies involving interacting gases. The ¹³³Cs Bose-Einstein condensate provides a pure and tunable experimental platform for coherent manipulation of quantum states. Our experimental results also provide important experimental references for matter wave interference measurement and quantum simulation schemes based on the two-photon Bragg scattering process.