We took that tour in June. It was excellent.
You will find that there are some "open" afternoons during the tour where you are "on your own." There's only so many things you can do during a day. For example, the last day, we did the Vatican as a group. It took up about 3 hours and then we were left to wonder around the Vatican more or do what we liked the rest of the day.
When in Venice, we had some extra afternoons and visited the Guggenheim on our own.
There are a number of sites in Venice that have been renovated and allow a modern artist to have a showing...that is free to the public. There are dozens of these specially designed exhibits throughout the city. From the comments of our RT tour planner, the buildings are what you really are there to see, because many of them are private...but with open exhibit, you gain access to see the inside of the buildings. I think it's called the Venice Biennale.
As far as Rome, we had 2 extra days after the tour and ended up going to Pompeii one day. I would suggest, as others...don't day trip out...it's really a long day. I would suggest going to some of the other sites. There's a lot to do in Rome and there's a lot you will not see in your tour. Try the Trastevere tour. The RT tour doesn't really hit on anything to do with the Trastevere...and it's a beautiful part of the city that is less crowded than the other places.
We went in June and it was very, very busy.