We present an analysis of the broadband UV/optical properties of z<3.4 quasars matched in the Galaxy Evolution Explorer (GALEX) General Data Release 1 (GR1) and the Sloan Digital Sky Survey Data Release 3 (SDSS DR3). Of the 6371 DR3 quasars covered by 204 GR1 tiles, 5380 have near-UV detections, while 3034 have both near-UV and far-UV detections using a matching radius of 7. Most of the DR3 sample quasars are detected in the near-UV until z~1.7, with the near-UV detection fraction dropping to ~50% by z~2. Statistical tests performed on the distributions of non-detections indicate that the optically-selected quasars missed in the UV tend to be optically faint or at high redshift. The GALEX positions are shown to be consistent with the SDSS astrometry to within an rms scatter of 0.6-0.7 in each coordinate, and empirically determined photometric errors from multi-epoch GALEX observations significantly exceed the Poissonian errors quoted in the GR1 object catalogs. The UV-detected quasars are well separated from stars in UV/optical color-color space, with the relative colors suggesting a marginally detected population of reddened objects due to line of sight absorption or due to dust associated with the quasar. The resulting rest-frame spectral energy distributions (SEDs) cover ~350-9000A, where the overall median SED peaks near the Ly-a emission line, as found in other UV quasar studies. The large sample size allows us to construct median SEDs in small bins of redshift and luminosity, and we find the median SED becomes harder at UV wavelengths for quasars with lower continuum luminosity. Tables containing the results of the matching and the overall median SED are available in the electronic edition of the journal.
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