Jindal is about as conservative as it gets.
He is a little bit more opposed to abortion that Palin. She opposed abortion even in cases of rape or incest but supports abortion when it is deemed necessary to save the mother's life. He opposes all procedures intended to abort a child even when the mother's life is in danger; however, he does support procedures not intended to kill the child being used to save the mother's life even when the chance of the child dieing is rather high, so the difference is slight. He strongly opposed the Supreme Courts decision ruling that his state's use of the death penalty against repeated child rapists was unconstitutional, and after it passed immediately pushed for legislation requiring mandatory castration for repeated sex offenders.
He is the youngest, the first Indian American, and the second Asian governor in the US. He is the son of Punjabi immigrants, but converted to Christianity as a teen. He later joined the Catholic Church, attending a catholic charismatic church regularly. There was some controversy about an essay he wrote at Oxford (he was a Rhodes Scholar) in which he described his part in a exorcism.
He is however very intelligent and quite competent. He brought Louisiana's Medicaid program from a $400 million deficit to a $220 surplus in about a year. He was the youngest president of the Louisiana University System. He was the third ranking official in the department of health and human services, and later a congressman. He was highly critical of the handling of Katrina relief, and has worked to improve the system greatly. He has gotten rid of a lot of corruption already, although he has been in office for less that a year.
His style has been criticized for being too "wonkish;" he has a very good memory and a great handle on the details of most matters he speaks about, but his speeches often seem like recitations of facts and figures. I guess his style is sort of the opposite of Palin's.