We do offer free support. We won't be able to build the blog for you, but it's pretty much already there, and easy to work with. We can help you along the way if you have any questions.
If you're just starting out with WordPress.com, I recommend you go through our new user's guide:
http://learn.wordpress.com/
In 10 quick steps, you'll learn about all the best and most useful features of WordPress.com, with lots of screenshots and videos.
You can also browse our support documentation and check out the forums — you might find the answer you're looking for.
http://support.wordpress.com/
http://forums.wordpress.com/