yes it will..

> There will be the same 6-week release cycle for new versions, Pinchai says.

http://parislemon.com/post/17215781807/chrome-for-android-th...

but i would ask will they be automatic or manual?

Probably automatic, like all their other apps on Android. But you should be able to easily turn that off just like with all the other apps in the Market.

I think only the market is automatically updated, everything else is opt-in like 3rd party apps, but you can now set your default to be auto-update, unless permissions change.