also is get-google-chrome the google-chrome package or chromium-browser?

Chrome and Chromium are not exactly the same indeed. get-google-chrome will compile a Chrome package for SliTaz and it will install it.

I did not find any Chromium-related SliTaz package in official database though. You may have to compile it yourself. I do not use Chrome, but I always hear that it needs the print utility cups to work.
Then if you wish to try compilation from source, you may have to install the development package of cups before (cups-dev probably).
Please wait for more detailed answers if you are not at ease with compiling from source.

Another solution is too find a package for chrome from another distribution (it could be a *.rpm, a *.deb or other ones) and try to convert it with tazpkg convert. Sometimes it fails, because of missing dependencies or anything else, but it also can work flawlessly.

My two cents,
-Babaorum

Erm... Chromium is a fork of Chrome, but without Google support. It's also open source and is meant to have features that google refuse to implement. Well that's the idea anyway. Generally these features haven't really been implemented much. So the main reason to go with Chromium is to get away from Google.