We report time-resolved photometric observations of the first superoutburst confirmed since 1975 in a most enigmatic cataclysmic variable, AL Comae Berenices, during 1995 April-June. We detected double-peaked modulations in the early phase of the outburst, the period of which is slightly shorter than the superhump period. Three possibilities for the mechanism causing these oscillations are discussed. We also refer to similar modulations observed in ER UMa stars.As seen during the 1978 outburst of WZ Sge, a dip of over 2 mag in the light curve occurred in the 1995 outburst. After recovery from this dip, AL Com again declined 0.5 mag and rebrightened, showing modulations with the same period as that of the superhump, which indicates that a ``second'' superoutburst occurred. These modulations disappeared before the final decline. After decline, AL Com stayed about or over 1 mag brighter than its quiescence level for at least 2 weeks. It is likely that the accretion disk remained in its hot state near the inner edge during the dip and after the end of the outburst.