Getting used to a tablet is weird, and there are some exercises you can do to learn your tablet's calibration/resolution. I don't really remember if it was weird for me to look at the screen while I drew when I first started using a tablet, but I do remember that because my tablet was very small - 4x5 inches live space - I had to zoom in to work on my art, so it really restricted my movements, as well as how large I could work with smooth lines.
If you mean what it's like to move into graphic art as in graphic design, that's something entirely different. (I think there's this misnomer where people call digital art "graphic art" when it really is not just "graphic" art or "graphic design."
wink However, if you mean the transition between traditional materials and digital materials, it'll just take some getting used to.
The suggestion to try using your tablet for games and browsing/regular use is a very good one. Just make sure you are aware of your tablet's click, double click, and click-hold time. You can change some of these settings as well as pen pressure, usually.
I also have some artistic exercises for you to try out if you wish. Practicing line work, and drawing simple shapes over and over is an illustrator's exercise that helps loosen the hand and arm while drawing.
First, draw a bunch of parallel lines, try and make them as long and straight as you can. You'll find that moving quickly, and drawing the lines in one go will help you create smoother, steadier lines. You can make even longer, steadier ones if you draw from the elbow or the shoulder instead of with your wrist and fingers. This is especially true on tablets, or when you're using a program that doesn't have a stabilizer (SAI does, and there are plugins for Photoshop, but this is a good bodily drawing tool to learn for even cleaner lineart).
Next, draw a bunch of circles in a few rows or columns. Try and get them in one or two circuits, but as you begin, it will probably take more than one loop around the circumference to get a 'perfect' circle.
After that, try and draw a bunch of elipses at the same angle, and of various angles. Try to do at least ten of each angle.
This exercise will not only help you learn your tablet's calibration and live area to screen resolution, but will also help you when it comes to drafting and line art. If you can make straight lines without using the shift key shortcut or a line tool, it will help your art seem more organic, as well as expedite your process!