I think you may have misread the solution to the problem.
It states "Acetone in solution by itself cannot exhibit hydrogen bonding (it does not have an active hydrogen). Once ethanol has been added to the acetone, the acetone can form hydrogen bonds using one of its lone pair from the carbonyl oxygen."
Acetone cannot form hydrogen bonds with itself because a hydrogen needs to be bound to an electromotive atom. In acetone, there is no hydrogen bound to an electromotive atom. When acetone and ethanol (contains a hydrogen on an electronegative atom), the carbonyl group of acetone and hydrogen bond with the hydrogen on the -OH group of the alcohol.