I usually try to get ice cold water, if I have the chance. I just like the taste of it better than room temperature water. Supposedly, cold water hydrates you quicker because the body absorbs it at a faster pace than something that is lukewarm or hot. Apparently, since it causes a fast temperature loss, it causes your body to expend more energy to heat up - which helps people lose weight. Honestly, I don't know how accurate that is and it isn't a deal breaker. I'm not trying to lose weight anyway!
Honestly, the only benefit of hot water I could think of - aside from making something coffee or tea - is for when I need to relax my throat muscles when I'm singing. Even then, I can just drink some tea or something.