You don't necessarily have to use it for drawing, and I know you want to, but it seems like you're forcing it. What it is, is a tool, and functions like a digital piece of paper with the option to do more than just write things down, which you explained when you said you were using it for your general browsing.
It's best you just continue what you've been doing, and maybe doodling with it every once in a while to get yourself warmed up. If you haven't been drawing for as long as you say, chances are that having this tablet won't magically regenerate your will to increase frequency of drawing.
Earlier this year in September, I bought a brand spanking new Wacom Intuos4, knowing I was in the middle of a massive art block, but I was so happy to have it, thinking it would make me draw. NOPE. I got back home, installed it, plugged it in, doodled for a minute or two, and put it back in it's box where it stayed off and on for the next 8 months. I've only just now started using it again, after using my old Bamboo Pen for so long.
So take your time, and just chill.