Turn A Gundam is...perhaps the strangest out of the Gundam franchise. You will either like it or hate it. The designs for the mobile suits are unusual. After all, what Gundam has a mustache?
If you are looking for an action packed Gundam show where main mobile suit can destroy others at an insane rate...this is not the Gundam series for you. Turn A Gundam focuses more on character development than anything else. The basic storyline is that the Moonrace were once people from Earth who went to the moon and are now coming back to the Earth. The people on Earth do not want this, and so the two groups are at odds. The characters from both the Earth and moon are likeable. The main character may seem like a girl, but he is actually a good foil for the warmongering characters.
If you watch Turn A Gundam, look not for the action but for the character development and storyline. The characters...yeah just look for the characters. It's the heart of the show.