@BeverlyFLADeziner: No, I'm not assuming the back has a finish. If you are referring to the cable being visible, or the approach to route it under the sofa would not work, there are two options: Align the table so that the "backless" back is up against the side of the sofa. So, flip it 90deg compared to the image of a sample sofa and this table posted earlier. The cable can be stuck along the curved edge of the table on the back, so that it is not visible. This way, it gets down to the floor along a surface that people cannot see as opposed to dangling through the hollow portion of the table.

There are lots of nice cordless lamps. What if you take the picture to a store that just sells lighting, and see if they have something similar in their catalogs? It would be expensive but maybe worth it if you love having them be the first thing you see when you come in the door.

you can go for wall mount full size mirror next to the computer table as converting it will not give good results

These are called wooden pellet or pallet. You can order them online . Scrap dealers around manufacturing logistics industrial areas usually sell these as well.