The command you ran will not tell us about your ASUS USB wireless adapter.
You would need to run a similar command though:
lsusb
That said it is probably not compatible. Wireless is a weak spot with
GNU/Linux and free software. The companies that design the chipsets are
mostly hostile to free software. I'm the founder of ThinkPenguin and we
worked with a company named Atheros which is more cooperative on the free
software front in the 802.11 wireless area so there are a few more options
now (or soon to be). There is also an older USB 802.11G option still
available. You'll probably need to pick up one of these cards or plug an
ethernt cable into the system.
You can find one of the 802.11G USB Wireless cards with the chipset from this
URL: libre.thinkpenguin.com (use it and Trisquel will get 25% of the profits
from any purchases you make!)
Good luck!