Which substance will form hydrogen bonds to water molecules but will not form hydrogen bonds with its own molecules?

The only compound that cannot form intermolecular hydrogen bonds is dimethyl ether, ${\mathrm{CH}}_3{\mathrm{OCH}}_3$. This molecule has a net dipole because the oxygen atom is electronegative, but because there are no positively charged hydrogen atoms in the atom (ie the oxygen cannot attract bonding electrons away from an attached hydrogen atom - because there isn't one! - to create a positively charged H atom), there can be no intermolecular hydrogen bonding.