The big different of course is that when I mess up with wood I can't just erase everything and redo it. Woodworking has taught me to slow down.
I also really enjoy the fact that you're making something with your hands. With economies as advanced as they are today, many of us have lost touch with what it's like to create something with your hands, that you can touch and use. It's hard to explain, but it's extremely satisfying.
Here's a quote about the lack of undo: "The consequences of careless work were immediate and unavoidable, and the amount of focus, resilience and perseverance required by these chairs was immense."
Would you mind highlighting a few of those?
http://www.amazon.com/Design-Everyday-Things-Donald-Norman/d...
The rest is just basic design. If you know how to arrange a web layout, you'll find designing furniture much more fun.
Probably the reason I like it most is the permanence. Although sites I've designed for the web have lasted decades at this point, none of them keep the actual design for a year or two. When I build something in wood it's going to be like that forever. The only thing I can do is repaint it.