Quick day to Paris for a 10h layover

My flight arrives tomorrow at Paris at 11:00 and my next flight is at 20:00 back to Greece.

I have never been to Paris and I would like to take a look to Eiffel tower, Notre Dame, Elysian Fields, Monmarte.

Since I don't have time to search the best way at this moment (I'm at the airport waiting for the flight), what do you suggest? I can use the subway, perhaps you can suggest a route.