I just found myself interested in drawing, painting and calligraphy, and I'd like to learn some basic skills in this field. Would anyone recommend some free websites to me?Thanks!

There is plenty on the web. But you might start with YouTube and see which forms you like most. Then you can expand that into the media your going to use.

Ref:

YouTube - art lessons (http://www.youtube.com/results?search_query=art+lessons&aq=0)