Yes, I asked my science teacher this exact question when I was 15 (as I burn easily) and was happily told I couldn't get sunburnt behind glass. So far, experiments have proven this true.
A similar fact is that photochromic lenses will not work in cars, i.e. when you're looking at the world through the windshield. The photochemistry in them is triggered by UV rays. It's another thing that should be common knowledge, but isn't.
Auto glass must be somehow different, because in Florida, you can surely get "some color" on your skin on a long drive and the sun beating in through the window.
