On my trip to France, I stayed 3 nights in Paris, 3 in Bayeux, then 2 more in Paris. I visited the Eiffel Tower and almost any other tourist site you could imagine!
The culture is very relaxed and different compared to the US. The French do not have as many working hours as us Americans, this leads to many adults lounging around in cafes, taking in the scenery.
One negative about the culture is the pickpockets, they are at every major tourist site, so beware.
Because Bayeux is in Normany, I visited many D-Day sites, how historic.
I had a great trip, the worst part was the boring flight back!