Zypper is the functionally equivalent to apt-get or aptitude for OpenSUSE. Man page should give you more information how to use it, you can also visit http://en.opensuse.org/SDB:Zypper_usage_1 for additional information.
For example, to update your current system with the latest packages open konsole and do:
To install plain old rpm do:
This should install the downloaded stable version of Google Chrome. Of course you can substitute suitable rpm as necessary.
To search for a package like libpng, do: