Both the USB and laptop card wireless adapters are "single" wireless devices which need to be co-ordinated by a wireless router device.
Assuming your Wanadoo Livebox does not have wireless capability, you will need a Wireless Access Point (WAP) device which in most instances are fully fledged Wireless Routers in their own right.
You will need to get either a WAP to talk to your laptop with a wireless laptop card (and any other wireless clients). Or get a Wireless Router which can be set to act only as a WAP device.
Doesn't Wanadoo offer an option of a combined modem and WIRELESS router instead? That would save you having to buy a separate WAP, leaving only the wireless laptop card for your laptop (which presumably does not have built-in wireless capability)