$ sudo apt-get update
$ sudo apt-get install ruby-cairo-gobject 

ruby-cairo-gobject is installed in your system.

Make ensure the ruby-cairo-gobject package were installed using the commands given below,

$ sudo dpkg-query -l | grep ruby-cairo-gobject *

You will get with ruby-cairo-gobject package name, version, architecture and description in a table

ruby-cairo-gobject package basic information: