The objective of this paper is to determine the level of obscured star formation activity and dust attenuation in a sample of gamma-ray burst (GRB) hosts, and to test the hypothesis that GRB hosts have properties consistent with those of the general star-forming galaxy populations. We present a radio continuum survey of all z < 1 GRB hosts in The Optically Unbiased GRB Host (TOUGH) sample supplemented with radio data for all (mostly pre-Swift) GRB-SN hosts discovered before 2006 October. We present new radio data for 22 objects and have obtained a detection for three of them (GRB 980425, 021211, 031203; none in the TOUGH sample), increasing the number of radio-detected GRB hosts from two to five. The star formation rate (SFR) for the GRB 021211 host of similar to 825 M-circle dot yr(-1), the highest ever reported for a GRB host, places it in the category of ultraluminous infrared galaxies. We found that at least similar to 63% of GRB hosts have SFR < 100 M-circle dot yr(-1) and at most similar to 8% can have SFR > 500 M-circle dot yr(-1). For the undetected hosts the mean radio flux (<35 mu Jy 3 sigma) corresponds to an average SFR < 15 M-circle dot yr(-1). Moreover, greater than or similar to 88% of the z less than or similar to 1 GRB hosts have ultraviolet dust attenuation A(UV) < 6.7 mag (visual attenuation A(V) < 3 mag). Hence, we did not find evidence for large dust obscuration in a majority of GRB hosts. Finally, we found that the distributions of SFRs and A(UV) of GRB hosts are consistent with those of Lyman break galaxies, H alpha emitters at similar redshifts, and of galaxies from cosmological simulations. The similarity of the GRB population with other star-forming galaxies is consistent with the hypothesis that GRBs, a least at z less than or similar to 1, trace a large fraction of all star formation, and are therefore less biased indicators than once thought.