Photoelectron spectra of Al-n(-) and Ga-n(-) clusters in the size range n=1-15 are presented. Using 5.0 and 3.68 eV W light (KrF excimer and nitrogen laser, respectively), electrons from molecular orbitals corresponding td the 3p and 4p orbitals of the atoms are detached. The spectra reveal a rich fine structure not observed in earlier experiments. The data are compared with the results of quantum chemical calculations. A change in the pattern of the spectra near n=6 can be interpreted as a transition from planar to compact 3D structures. The spectrum of Al-13(-) agrees with the icosahedral structure predicted for this particle. The data do not agree with jellium model predictions. Differences between Al and Ga data can be correlated with the larger binding energy of the Ga 4s band.