And, welcome to Linux Questions!
This is a pretty good video for installing drivers in Linux Mint
Most drivers are included in the Linux kernel. Unless you have some specific device that isn't working or not working properly.
I have a Sony Vaio too. Just purchased it about 2 months ago. My graphics card is a AMD Radeon 1 GB HD-
01:00.0 VGA compatible controller: ATI Technologies Inc Device 6841
01:00.1 Audio device: ATI Technologies Inc Device aa90
To find out what graphics card you have you can run in the terminal this command:
The command 'lspci' is for information about all PCI buses in the system and all devices connected to them.
Useful when you want to diagnose problems or when you want to report bugs related to PCI devices.
the cube is all distorted and visually messed up, so I assume thats a driver issue.
When I had compiz fusion on my distribution I had to go through the Compiz Fusion Manager a few times till I set up all of the effects and boxes checked just right. Try going thru your Compiz Mgr and check on what you did.
If that doesn't help it could be that you need a driver-