No, there's lots of documented problems with Mail.app and Gmail.
This same force-quit problem happens to my wife, but never happens to me (I setup all the accounts, they're all configured properly). However, my problem is that Mail.app never updates the "read" flag after it downloads the message once. It acts like it's setup as POP, not IMAP. It will only update the "read" status if I quit and re-open Mail; then all the messages will be marked correctly. I posted about this problem several months ago both here and on Apple's support forums (where I found other people experiencing the same issue) but there has been no resolution yet.
There's just lots of bugs with Mail.app/GMail IMAP, and the best we can hope for is that Apple gets it together and actually fixes some of them. However, after two full point updates to Leopard and still no fix, I'm not holding my breath.