You will learn a lot and have a lot of fun setting up the wireless gear i think. Unlike in windows DLINK will not offer a driver for linux for your card. I just looked their website and there is not one for the DWL-630 and linux.
You will need to do a number of things to get the card activated in linux. You may be able to choose between using native linux drivers (which can offer some cool extras) or Windows drivers (using something called NDISWrapper)..... SPend some time researching the points below and you will get there... (google and forums will help heaps)
To be quite general you will need to do the below to get it working.
1) Have PCMCIA enabled when your machine boots (slack should do a 'probing for PCMCIA' by default when booting
2) Choose whether you want to use Linux drivers or the windows/ndiswrapper
3)Find out what the 'chipset' is in the DLink card (Probably 'Prism2 or Prism54' for this card) - Use Google.
3)Install the 802.11 networking stack (unless its already setup on your machine) -
4)Install 'wireless tools' for linux (something may come with the Driver you get) - this will let you configure it once its installed)
3)Downloand and install the Driver from somewhere (may need driver and firmware) - after unpacking the files there should be a README which will offer pretty good help..
If all goes well you should be able to use the wireless tools to see/configure the card. you will then be able to use it to connect to your router etc...
It does sound like heaps but you will gain a lot of knowledge and will get to explore linux quite a bit too
There will be plenty of other users who have setup this card in linux who will have posted helpers and maybe even complete guides on the forum or homepages.
You may even find the card gets auto detected and setup by it simply being inserted when you power the unit up.
like karlox said - try typing 'iwconfig' from the console window and see what happens. IWconfig is one of the wireless tools.. if it works past the outcome back into here