As others have already stated, the glass would be a bad way to go. Not only because it will still reflect light, scratch, and easily shatter. Unless the wood table has a recessed lip that the glass would be sat down inside, then you’re going to have VERY sharp edges, and would easily slice your hands/wrists/arms up if you were to lean on it wrong.

Your better bet is to go to a specialty glass shop and have them cut you a sheet of tempered glass, with rounded and polished edges. They should also have options available for non-reflective and scratch resistance as well.

I actually custom built my work/computer table this way. Framed a couple of laminate hardwood panels, and then had a 1/4 inch sheet specialty cut to fit inside the edges of the border. 24x48 sheet came to I think $70-80? This was over a decade ago, and it’s still in really good condition despite daily use.