We present the detection of a giant radio halo (GRH) in the Sunyaev-Zeldovich (SZ)-selected merging galaxy cluster ACT-CL J0256.5+0006 ($z = 0.363$), observed with the Giant Metrewave Radio Telescope at 325 MHz and 610 MHz. We find this cluster to host a faint ($S_{610} = 5.6 pm 1.4$ mJy) radio halo with an angular extent of 2.6 arcmin, corresponding to 0.8 Mpc at the cluster redshift, qualifying it as a GRH. J0256 is one of the lowest-mass systems, $M_{rm 500,SZ} = (5.0 pm 1.2) times 10^{14} M_odot$, found to host a GRH. We measure the GRH at lower significance at 325 MHz ($S_{325} = 10.3 pm 5.3$ mJy), obtaining a spectral index measurement of $alpha^{610}_{325} = 1.0^{+0.7}_{-0.9}$. This result is consistent with the mean spectral index of the population of typical radio halos, $alpha = 1.2 pm 0.2$. Adopting the latter value, we determine a 1.4 GHz radio power of $P_{1.4text{GHz}} = (1.0 pm 0.3) times 10^{24}$ W Hz$^{-1}$, placing this cluster within the scatter of known scaling relations. Various lines of evidence, including the ICM morphology, suggest that ACT-CL J0256.5+0006 is composed of two subclusters. We determine a merger mass ratio of 7:4, and a line-of-sight velocity difference of $v_perp = 1880 pm 280$ km s$^{-1}$. We construct a simple merger model to infer relevant time-scales in the merger. From its location on the $P_{rm 1.4GHz}{-}L_{rm X}$ scaling relation, we infer that we observe ACT-CL J0256.5+0006 approximately 500 Myr before first core crossing.