Yes...you have multiple options:
AJA T-TAP - AJA.com
Decklink Mini-Monitor - decklink.com
Both of these do HDMI out...so you'll need an HDTV. VGA is OLD computer tech, and you can't use computer monitors to monitor video. You can use them as computer monitors...just not as "external broadcast" or "client monitors."
Eeewww! Oh, the horror of what you are trying to suggest!
No. A video signal for a computer display and a video signal intended for TV are very very different things. If you want to PROPERLY see what the video you shot looks like, a computer monitor is the LAST place to look. You want to use an HDTV at least. I'd even say avoid computer displays with HDMI inputs...but even those are better than VGA. VGA is a very low quality connection. DVI, HDMI...those are better.
But if your intention is to view your video at full quality...an HDTV is your better option.