I think it's just called the iPad. Right now it's new, so they're referring to it as the "new iPad".

This naming convention is simpler that appending a hardware version number to the name at each refresh. Also, it's what Apple currently does with most of their other product lines. It's the MacBook Pro, not the MacBook Pro 3. The iPods were always called just that, an iPod. People referred to them as the nth generation iPod, but Apple labeled them iPods. Easy.

I wouldn't be surprised if this naming convention spreads the iPhone.