Fatboys is a sports bar at 7 Place du Luxembourg, in the EU district and in the same square as Gare Luxembourg, with mutiple sports screens, including F1. Over the next two weekends they will show the French and UK Grand Prix events at 14:00....
You can see Fatboys' video sports schedule here:
http://www.fatboys-be.com/.
Please note: I have not personally watched anything there, but am assured they have this under control.