When you install that .deb package it also created an entry in your sources.list file.
This means that from then on, chrome will update via mintupdate with the rest of your programs.
So yeah, you'll be notified when a new version is released and be able to upgrade like any other package.
PC: Manjaro/LM 13 x64 XFCE, Kernel 3.11.1-6/3.8.0-32-generic, Nvidia GTX650, i7 3770K, 16GB RAM, Asus Xonar DX
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