Question re: Google managed email and switching domain names


My Web site is hosted by DreamHost (of course), but Google manages my domain’s email. This was done automatically by DreamHost a few years back when this service was announced.
I’d like to now switch domain names. DirectNic is my registrar. The domain name that is currently pointed at my DreamHost hosted Web site I would like to instead point to my Tumblr site. I will point a different domain name at my DreamHost site. Would doing this mess up my email that is managed by Google? I’m not sure if DreamHost is doing anything that allows me to use Gmail using my domain name that would be broken by switching where my domain name points to.

Thank you for your time!