The Arduino in itself is not capable of driving an LCD screen of that size or color depth.
There are boards such as the gameshield and some boards from sparkfun that can drive a VGA monitor, but all are limited to low resolution.
Driving this specific LCD screen would be possible if you knew the pinout of the ribbincable, some will be power, others should match the VGA signal lines, it will however be very hard to figure out if you don't have a datasheet.
If your goal is to drive big VGA LCD screens, berhaps you should look into the somewhat more powerfull SoC boards such as the MINI2440 ARM boards (
http://www.thaieasyelec.net/index.php/SBC-/-Embedded-OS/mini2440-TFT-3-5-inch-Touch-Screen-S3C2440-ARM9-Development-Board-1-GB-NAND-FLASH-/p_182.html)