I have never heard of A Song of Ice and Fire, is it a book, movie song haha?
It's a collection of epic fantasy novelsAmerican novelist and screenwriter George R. R. Martin. FYI the books are much better then the TV show.
Oh that sounds so interesting, what is it about 
It has three stories that interweave a dynastic war among several families for control of Westeros, the rising threat of the supernatural.
Has it been around for a long time, when was it first published
The first book A game of Thrones was published in 1991 and is not finished yet.
Oh wow, they still have the 3rd story to make?
They have started it, it's about  the ambition of Daenerys Targaryen, the deposed king's exiled daughter, to assume the Iron Throne.