@eppixx,
eppixx wrote:
Do I ask her to go on a few dates with me and then I ask her out?
Where I come from, the first time you ask a girl to go on a date, that constitutes "asking her out". If, after a few dates, you both want to continue, that is often called "going steady" or "getting serious", but these things are not generally arranged by means of questions or requests, except that eventually a proposal of marriage is possible.
Maybe you live in a very traditional society, in which case you should indicate which one, otherwise you are liable to get confusing answers from people e.g. in Western countries where the etiquette is much looser.