I need help

So I’m 16 and I want to have sex for the first time but feel responsible for birth control. My boyfriend has condoms but I told him that I wanted to use both condoms and the pill before having sex. He understood completely. The problem is that I don’t have a planned parenthood nearby and I want to go to my doctor but don’t want my parents to know. What should I do? Can my parents see that I got a prescription? I know sex at a young age may be taboo but the reality is it’s going to happen and I want to be safe. Please give me advice and hopefully personal stories