Be curious. Let your curiosity inspire you to learn and grow. You’ll go a long ways if this is your attitude in approaching new projects and technologies.
Have fun. Continue to play around with designs, getting feedback, and always revising.
Look at what other awesome designers are doing. Dribbble.com is a great site to find inspiration.
Steal. Don’t be afraid to rip off ideas wherever you see them. Ok, I say that with a disclaimer. Make sure the final product is your own and is unique enough that it will not be confused with something else.
Pick a design program and get really comfortable with it. My personal suggestion would be to get used to Photoshop or Illustrator. Either will work fine for web design. I personally use Illustrator, but it’s just because of what I’m used to.
Read books on the topic. Use Amazon as your friend. I did this when I was learning web design.
Develop a thick skin. Ask for feedback from those that will actually give it, and let them know up front that you want their honest opinion. Find a few trusted friends that will regularly give you feedback on your work.