No, herman is right. When the people looked at the structure of benzene, they found that all the bonds were of equal length. This was due to resonance. So basically, the electrons are shared between all bonds, not just three bonds as you generally see it. Drawing benzene as 3 double bonds and 3 single bonds isn't a real accurate description because according to Kekule's rule, the double bonds actually resonate. So for benzene you actually have a blend of two possible resonance structures (if you move the double bonds around once you get the other resonance structure). You might notice that the probably best way to represent benzene is the hexagon with the circle in it, to represent the resonance.
I think you get the gist. And 1,3,5-cyclohexatriene doesn't exist. It was a structure initially proposed by Kekule and other scientists for benzene, but was later disproven because they found that all the bond lengths were the same and thus resonance was born.