"How do I get started as a Freelance Graphic Designer?"

Generally, businesses are required to get a business license to ensure that they are complying with government regulations. Licensing requirements will depend on which city/county/state your business is located in.

Business.gov can provide information for your local area and type of business at their website. You can enter your zip code and business type, and you'll receive information on licensing requirements as well as permits, tax documentation.

You'll also want to register your business name with the County Clerk's Office. Contact your county for forms and instructions.

Just so you know you're covering your bases, I suggest picking up a "How to Start a Small Business" type book at your local library or bookstore. These usually cover lots of different important topics, including legal and tax information, and will probably answer many question before you know to ask them.

A good book (5 star rating by customers) at Amazon:
"Working for Yourself: Law & Taxes for Independent Contractors, Freelancers and Consultants"

Finding clients: You can list your graphic design services and find freelance work at a website called eLance.com.