There are a lot of different issues here. Fortunately, you (OP) have time to work them all out.
Firstly, there is your own situation. Congratulations on your ambition to become a doctor, a surgeon and to specialise as a surgeon. That level of ambition will serve you well in life. The only thing I would add is that people and their interests can change over time, so don't blind yourself to the other possibilities for careers which will come to you and which could also satisfy your ambition.
Secondly, there is the attitude of your parents. You've already got a head start in that your parents think you should go to college. Too many girls have parents who think girls should not (or need not) be educated, and will not support them in getting an education. (Perhaps these parents don't realise that educated women have healthier and better educated children, who then have better life chances. What parent wouldn't want that for their grandchildren?)
I would suggest not trying to tackle your parent's attitudes head on at this stage. You should be able to do everything you need to in order to get to college on the medical track (there's lots of advice about this elsewhere on SDN) without getting into a pitched battle with your parents. Their views may in any case change over time. If you do want to start bringing your parents round to the idea of your being a doctor, you might for instance present becoming a doctor as one of a range of options for you (no more than the truth, at the moment). But you know your parents and their views best, so advice from a stranger over the internet over how to handle your relationship with them should be considered very carefully, and even if you think that advice is helpful you should tailor what you do as a result to your specific circumstances. (At its most basic, one of the most important things for you is to keep a good relationship with your parents, at least until you are legally an adult and can safety fend for yourself.)
Thirdly, there is the question of financing your study. Your posts suggest that your parents would be prepared to fully fund your undergraduate studies. Again, that puts you a long way ahead of where a lot of other people are. By the time you have completed your undergraduate studies and learnt whether or not you will be able to get into medical school (I'm assuming here that you follow the US model of medical education), you will be an adult and should have options for funding your own studies, including working for a while and/or getting loans. By this stage, I would hope that you would not be letting your parent's preferences, or unwilllingness to contribute financially, prevent you from doing something which is both personally rewarding and makes a valuable contribution to society.
Finally, getting married used to be almost essential for a woman in any society for economic and social reasons, and children followed almost inevitably. In large parts of the world that default position is no longer the case: marriage and children are options for women, not necessities. You almost certainly have that choice, too. Like all choices, it needs to be exercised with careful consideration, and without allowing the expectations and assumptions of others to determine what is right for you.
Good luck.
