Look at a lot of pictures that other people have taken, look through stuff like the "Picture of the Day" thread and find galleries of pro photogs' pictures, find out what you like. Look for pictures, styles, elements that you like and try to emulate them when you shoot.
Also, learn how to really use your camera, master the controls and learn the strengths and weaknesses of the technology. Since you're shooting digital, take lots of pictures, and see what comes out nicely! You have nothing to lose taking 15 different pictures of something, even if you delete them all, you can only gain experience.