Water in pure state consists almost entirely of molecules. Hence it is a non-electrolyte that will not conduct electricity.
Water is a polar covalent compound. It can be electrolytically decomposed by addition of traces of dil. H2SO4 which dissociates as: H+1 and SO42- and help in dissociating water into H+1 and OH- ions. Thus, dilute sulphuric acid catalyses the ionisation of water to produce a conducting solution.