That "bi-plane" is one of the first that actually could hook up wirelessly. The other was the original iBook G3. That said, getting it there requires a bit of forsight of what one may run into:
1. A PCMCIA card which has 802.11g is hard to find that also has Mac OS X drivers.
2. A wireless ethernet bridge can be attached to your built-in ethernet port with no extra drivers.
3. Mac OS 9 browsers don't offer much in the way of current video compatibility. 10.3.9 barely more so. The irony is, the Powerbook G3/233 was able to show Sorenson based video movie trailers in Quicktime without any lag. Sadly the Youtubes of this world did not choose the less processor hungry algorithms to write their video encoding technology.
4. The Lombard's DVD drive wasn't that compatible with Mac OS X or higher.
5. Having no built-in Firewire and only one PCMCIA slot meant that any powered Firewire devices may have a hard time to connecting, making backing up to current hard drives very difficult
6. the 29/30 pin SCSI adapters are hard to find for the Lombard.
7. Some of these machines had a CPU that actually was not able to allow any Mac OS X installation whatsoever, and you only learned about it after the fact.
If you don't mind the exploration of getting it up to speed, it can certainly be worth your while. My FAQ*:
http://www.macmaps.com/macosxnative.html
has several links which may help you get to where you want to go.
Good luck!