The ground state is a property of the entire system, in fact the only thing DFT can (formally) calculate is the ground state. The energy levels (the eigenvalues of the one-electron Kohn-Sham orbitals) are something very different than the ground state. What you may be interested in is looking for the HOMO or LUMO, but if it's an extended system you are rather looking for the band gap. For further guidance you will have to post the geometry and a picture of the results, because I don't understand what you are really asking about.