It is fun to ride the same stretch of road that is on a pro race route. In 2014, I was on a bike tour of France and did the Mount Ventoux climb the day after the Tour went up. Froome did the climb in about an hour and had been racing for 75 miles before he hit the climb. I was bused to the town at the foot of the climb and then did it in two hours. However, there were still a lot of spectators on the climb and an amazing amount of cyclists. It was pretty epic to do it right after the tour.
When I lived in NorCal, we had a hill climb race series and I raced several of the climbs that the Tour of California did. It was interesting to see how the UCI pro tour riders did compared to the locals. Of course, it was apples and oranges but still fun.