I have taken all of my younger family members to museums/art gallery's/exhibitions for their whole lives starting in their buggies... they all now do the same thing with the next generation because they loved the experience so much themselves... you underestimate the curiosity and intelligence of children... an art gallery is a visual representation of the past/emotions/generational changes... explained well it is in an incredibly stimulating experience.
Absolutely. I've done the same with my little one. We always make sure we visit historic sites and museums on holiday as well so she can learn about the history of other cultures and not just spend weeks in the pool.
We are thinking about a few days in Paris later in the year and the Louvre would be on the list of places to visit for us.