If you want to look at what your chart looks like the best free calculation and readings are given by http://www.astro.com. They provide partial recipe readings. Recipe readings are an unbalanced look at your natal chart. Eventually when you’ve read them all, it is up to you to make sense of what weighs more and what weighs less and why. The “why” is advanced astrology, but you can come very far this way.

Now if you have a list of the symbols, many of the positions you can find out for yourself and look up again on more elaborate sites. Once you do, http://www.cafeastrology.com provides a whole lot more interpretations.

If you’re really serious about astrology, I always recommend learning how a chart is calculated from beginning to end to see how the planets and houses move. This gives you the ability to understand more advanced astrology. Check your nearest city library or online bookstores, depending on which funds you have/willing to spend. If you want to learn how to calculate it, without using automated sites, I can give you the means and information on how to do so.