We are leaving July 15th, traveling from Barcelona, to sicily, to naples, rome, florence, cannes, then back to Barcelona. I was just wondering if the weather in the mediteranean during summer months was actually like summer weather, which is what we are hoping for. Thanks for any responses!

It is fine. The odds to have rain at that moment are very low!!
Hot very hot -
My son just got back from being a security guard on a Italian cruise ship during july . He was hot
Wow what a great treat for you, July is a perfect month in any part of the world to go on tour particularly Europe.
VonBoyage