Hope you don't mind me giving you my advice, as a parent. I think the reason your parents might not have wanted you to date was because they felt you'd be throwing away your life and making irrational or poor decisions if you were in a relationship. Maybe giving up everything that you enjoy and that makes you who you are, or giving up on college, etc. just to be with a boy. At this point, if you want your parents to take you and your relationship seriously, show them that you can be trusted. Make the rational, instead of emotional decisions. Show them that you will still be responsible (grades, chores, etc.) and that this boy should be seen as a great addition to your life, not something that is distracting you from your other responsibilities. And if this boy is "the one", it will work out, whether it's now or years down the road.
FWIW, I dated someone from the end of my freshman year through graduation. We broke up right after graduation and I kick myself for having wasted my high school years on him. At the time though, you couldn't tell me I wasn't in love.

A few weeks later, I began dating my husband. I'm out of school 25 years now. Can't say it's been easy, but we're still together. Just wanted to share that so you'll know that I have been where you are.
Hope my rambling helps in some way. Being in love (or at least believing you are) is the best and worst of everything, all rolled into one. Good luck with whatever you decide.