We have considered the dendrimer supermolecule as comprised of two-level systems as monomer units on the nodes of a Cayley tree. Each unit undergoes dissipation and driving by an external laser field along with nearest neighbour interaction among the monomer units. We have studied the steady-state absorption spectra, The effects of Cayley tree geometry on the spectral properties are investigated through the intensity and width of the spectra. The origin of the enhanced energy transfer mechanism of the extended dendrimer in comparison to the compact one is explained,