I have broadband. My system is always connected. Unless I'm completely out of the house or asleep, I'm kind of "online", since, even if I'm doing something else, I can hear when someone ICQs me or when the mail arrives.
So, like everyone else I know, the answer is "Too much".
2. What is your browser homepage set to?
The Blue Room Search Page, a collection of links to various search engines that S. John Ross whipped up a few years ago. I keep a local copy on my hoard drive, and that's where my browser points. That way, if I'm not connected for some reason, I can fire up IE to look at other local files and it won't throw a tantrum.
3. Do you use any instant messaging programs? If so, which one(s)?
ICQ. No, you can't have my number. I treat it like a phone line -- I don't plaster that number all over Creation, either.
4. Where was your first webpage located?
America Online. Shut up.
5. How long have you had your current website?
Hmmm. Because we've changed domain hosts a couple of times, the answer is either About Four Months (when we switched to our current host) or About Four Years (when we set up a server in our dining room and ran stormdancer.net on our delightfully unrestricted cable modem for a year or so).