No one can see my monitor unless they're standing at my desk - no one's behind me. So I don't really hide it. And if someone comes over to speak to me, I sometimes change my webpage, but not always. I usually have spreadsheets open anyway, as they're how I keep track of all my book orders, so usually I have to flip over to that when talking with someone anyway. Or I just leave my email open. I'm not too concerned, really.
Now, if only I could get my desk moved... the office is an L shape with 4 people in it, and my desk it at the crux. I want it moved back into the bottom part of the L, but I don't know if the cables will reach that far. And it's a pain to move a big L-shaped desk, filing cabinet, and the table all around me. If I was moved away from people I could maybe do a little more as people they wouldn't hear my keyboard clicks. .. Since I click my mouse or hit keys while watching videos so I don't look like I'm sitting there watching videos.
Edit: And my boss' boss comes over, she sits on my desk, and says "after the long weekend we'll try moving your desk" and doesn't even look at the escapist page I have open. Hah. (Not that I'm expecting my desk to move, as this is governmnent after all, and I'd be better off strapping it onto the back of a bunch of snails. Or just yanking my desk as much as I can until the cords rip out of the floor.