I'm Indian myself and I've personally seen people who try to bleach their skin and others who make their hair look all poofy. I guess most are like that but definitely not all.
I am South Indian but I have very fair skin (with a yellow undertone) much like Chinese skin. My family members have the same skin, as do most of my relatives. But a lot of my Indian friends and the cousins who have tan skin all make fun of me for my skin.
And as for my curly hair, the Indians I know all tell me they wish their hair was like mine (even though it can get frizzy sometimes), and some of them try to perm it.