With Apple's 10.9.2 update, Mail.app has again been patched to work better with Google Mail accounts. We strongly recommend updating your Mac to 10.9.2 before activating or adding a Google Mail account (M+Google or a consumer GMail account). MiWorkspace users can run the update from the Menu Bar.
There are still some quirks to using Mail.app with a Google Mail account. This article breaks down some of the improvements and some of the differences still present in 10.9.2.
If you have a support issue, please contact the ITS Service Center.