Unfortunately, there is no way a stock iPad1 will stream wirelessly to a TV/monitor.
However, if you wish to jailbreak it, you can then have the option of tweaking the iPad1 to use a wired connection (Cydia tweaks TVOut or DisplayOut or by tweaking the K48AP.plist in the iPad's file system) to mirror your iPad's display to an HDTV.
For wireless, you can install the Cydia tweak Veency and, using a VNC viewer program, you can feed your iPad's display to a monitor (and maybe a TV - I've not tried that).
If you don't jailbreak, you can get the Apple TV (USD $99), which will allow you to wirelessly stream music and videos - but not mirror display.
Finally, if you hang in there, iOS 5, which is due this Fall/Autumn, is supposed to allow mirroring - at least of iPad2s. I am unsure if this means iPad1s can also do it, though I don't know why they wouldn't as they'll both be running iOS5. We'll see then, won't we?
Short answer: Can't mirror stock iPad1. Long answer: Jailbreak, install some Cydia tweaks and yes, you can.
If you decide to go the jailbreak route, know that we're here to help, should you need it.
Good luck.
Marilyn
P.S. Please not that I very carefully referenced ONLY the iPad1 for jailbreaking - as you canNOT jailbreak the iPad2 as of this writing.