well...no apt-get on mandriva...it is urpmi
you can have a look at easyurpmi website to define the repositories then it is urpmi nameofprogram. to install urpme nameofprog to uninstalle urpmq name of prog to query.
urpmi.update -a is to update database and urpmi --auto-select is to update all packages if there is update available.
and you have the mandriva control center that gives you all in graphical.