There are only two tested WiFi cards for the Galileo Gen 2 board, Intel® Centrino® Wireless-N 135 and Intel® Centrino® Advanced-N 6205. However, there should be no problem if you add the right firmware for your device. Take a look at the next link https://wireless.wiki.kernel.org/en/users/Drivers/iwlwifi, there you can find the right file for your device. To install the firmware on your Galileo, copy the file (the one you previously downloaded for your device) to the SD card, boot the Galileo, unzip and then copy the firmware to the /lib/firmware directory. Then you can follow the steps in this link to complete the setup http://www.malinov.com/Home/sergey-s-blog/intelgalileo-addingwifi.