I can't see being able to get a good screen protector on there without any bubbles, so I'm going with no and just hoping to pickup the Apple case.
No, I prefer the direct tactile feel of glass
...I think it's a rugged device with that scratch-proof glass.
To your question, Apple says NO. They cleared out the screen protectors from their store.
I would recommend an anti-glare one (I can't remember the brand), they come in olive packaging. Any bubbles disappear within a day or two and you have a layer that you clean the screen first with. It's a bit pricey, but if you get a protector, get those!
I was in the Staten Island Apple Store today and they still had screen protectors and cases that came with screen protectors available for purchase.