Chris Torrence, the production editor on Assembly Lines: The Complete Book, and the curator of the Assembly Lines Podcast has put together a podcast outlining all of the steps necessary to run your own web server from the Apple IIe. In the Assembly Lines #18 podcast, he runs through the network setup as well as the Apple IIe Contiki setup and in the end shows the Apple IIe serving up a simple breakout game being served to the internet by the Apple IIe.
To view the podcast, check out the video below.