When the weather allows it (read: pretty often) events are held outdoors, in the patio of the Centre, where a friendly cafè-restaurant operates daily from 9:00 AM to 9:00 PM (closed on Friday).
The only slight problem is that it is, so to say, a bit off the beaten track. If you have a driver or take a taxi, just scroll down to the address. But if you are a Metro person (all my symphaty) you might find it a bit difficult to find the place. Try with this directions: take the Metro line Helwan-El Marg until the Seyyeda Zeinab station. Take the right (west) exit and walk up north on the narrow road bordering the Metro line wall (on your right) until you find the first coffee shop at a corner on you left. Turn into this road and walk until you reach the next main road (again easily identifiable because of coffee shops on both corners). Turn right and walk until you see on your right a large handsome colonial style building with a large garden. This is the IFA (French Archeological Institute). Turn right again at the first corner and at the end of the street on the right side you'll find the entrance of the CFCC. The walk takes about 15 min. If you find yourself in doubt or lost ask any coffe shop client or shopkeeper for the "Markaz al-Thaqafi al-Faransi". Everybody seems to know and with the ever useful sign language they will kindly direct you on the right way.
Another option, more convenient if you come from the North of the city, is to get off at Saad Zaghloul Station and walk south on Al Falaki Street. Haven't tried yet this option but judging from the new map on CFCC leaflets it seems quite easy to find the Centre. If in doubt, just ask.
Centre Francaise de Culture et de Coopération: 1 Madrasset el-Huquq El-Frenseya, Mounira