Did your doctor refer you to a Neurologist? A Neurologist should be able to give you something like Amitriptyline which should give you relief from some of the headaches you experience while using the computer. For me, I've only gotten headaches from computer use, not from watching TV. My Neuro has me on Amitriptyline which does keep the headaches at bay for a little while. I still have to take breaks away from the computer every 30 minutes or so and cut my workdays a little shorter because I stare at a screen all day.
Your brain needs time heal so going back to normal activities is not recommended. I've tried it and it only made things worse.

Spend some time reading or take up a new hobby. I just started learning to play guitar. It's fun and it keeps my mind off my headaches.