We derive the size and temperature profile of the accretion disk of the lensed quasar SBS 0909+532 by measuring the wavelength dependence (chromaticity) of the microlensing magnification produced by the stars in the lens galaxy. After correcting for extinction using the flux ratios of 14 emission lines, we observe a marked change in the B-A flux ratio with wavelength, varying from -0.67 +/- 0.05 mag at (rest frame) similar to 1460 angstrom to -0.24 +/- 0.07 mag at similar to 6560 angstrom. For lambda greater than or similar to 7000 angstrom both effects, extinction and microlensing, look minimal Simulations indicate that image B rather than A is strongly microlensed. If we model the change in disk size from 1460 angstrom to 6560 angstrom using a Gaussian source (I proportional to exp(-R-2/2r(s)(2))) with a disk size scaling with wavelength as r(s) proportional to lambda(p), we find r(s) = 7(-3)(+5) light-days at 1460 angstrom and p = 0.9(-0.3)(+0.6) for uniform priors on r(s) and p, and r(s) = 4(-3)(+3) light-days and p = 1.0(-0.4)(+5) for a logarithmic prior on rs. The disk temperature profile T proportional to R-1/p is consistent with thin disk theory (T proportional to R-3/4), given the uncertainties. The estimates of rs are also in agreement with the size inferred from thin disk theory using the estimated black hole mass (M-BH similar or equal to 2 x 10(9) M-circle dot) but not with the smaller size estimated from thin disk theory and the optical flux. We also use the flux ratios of the unmicrolensed emission lines to determine the extinction curve of the dust in the lens galaxy, finding that it is similar to that of the LMC2 Supershell.