I had a Glo screen protector on order before I got my Glo, sorry. Not an official one, but it works ok, found on Amazon. I took the official plasticy thing it came with off and put my third party protector on straight away.
I have one bubble at the edge, but I can live with it.
The screen is noticeably shinier with the protector on though. I know many people don't use one because of this issue, so you should be fine without one. Depends how paranoid you are: I have a screen protector on my phone, even though it has Gorilla Glass.
Just give it a clean with some monitor cleaning spray, that's what I do. Make sure you spray the cloth and then clean the screen, not the screen directly. Someone gave me that tip years ago for any screen device and I find it works wonders.