The wooden work surfaces date it to the early to mid-1990's, I would say. I had a Weber Genesis 2 that was a lot like this, it was a 1992. If those are pinstripes running across the bottom edge of the lid, this might be one of those special editions sold by Sears?
Check the outside back right corner of the cabinet, up high on the cabinet, or under the right side where the gas tank goes. I think that's where the serial number was on mine. With that, Weber Customer Service at 800-446-1071 can tell you the age.
Regards,
Chris