We have performed new 1.4 and 5 GHz observations of the Local Group galaxy M33 with the Jansky Very Large Array. Our survey has a limiting sensitivity of 20{mu}Jy (4{sigma}) and a resolution of 5.9" (FWHM), corresponding to a spatial resolution of 24pc at 817kpc. Using a new multiresolution algorithm, we have created a catalog of 2875 sources, including 675 with well-determined spectral indices. We detect sources at the position of 319 of the X-ray sources in the Tullmann+ (2011, J/ApJS/193/31) Chandra survey of M33, the majority of which are likely to be background galaxies. The radio source coincident with M33 X-8, the nuclear source, appears to be extended. Along with numerous HII regions or portions of HII region complexes, we detect 155 of the 217 optical supernova remnants (SNRs) included in the lists of Long+, 2010, J/ApJS/187/495 and Lee & Lee, 2014, J/ApJ/793/134, making this by far the largest sample of remnants at known distances with multiwavelength coverage. The remnants show a large dispersion in the ratio of radio to X-ray luminosity at a given diameter, a result that challenges the current generation of models for synchrotron radiation evolution in SNRs.