Connect the WRT54GS to the desktop with Daphile.
The WAP54G is connected to the network via it's one
LAN Input
Note: For the AP Client and Wireless Bridge modes, the remote access point must be a second Linksys Wireless-G Access Point (model number: WAP54G). For the
Wireless Repeater mode, the remote wireless bridge must be a second Linksys Wireless-G Access Point (model number: WAP54G)
or Wireless-G Router (model number: WRT54G).
https://downloads.linksys.com/downloads/userguide/1224638675572/WAP54G_V30_UG_A-WEB,0.pdfNote: I always had trouble accessing the WAP54G interface using a MAC OS, there was some incompatibility with the old OS my friend was using so I had to bring my Windows laptop to adjust settings.
With careful reading of the manual you might get it working the first time. I don't think you need to mess with DD-WRT at all, both routers should work as-is. I never configured a WRT54GS, always two WAP54G routers but it should be similar.