Seeking Help for Anxiety, without parents knowing?

I suffer from anxiety in many situations, and this has been a recurring problem for just over three years now. I sought help in early 2012 from CAMHS due to having an anxiety attack on a school trip and having to have a taxi drive me half way up the country to return home (funny story that). My dad wasn't too keen on me seeking help for it, because he felt that my anxiety issues weren't that bad. Also, as most parents do, they want to know everything, but I don't feel comfortable talking about such things to my parents, I'd much prefer a doctor or a complete stranger.

Anyways, anxiety issues have became a lot more frequent for me now over the past 3 months and I went to see the doctor about it because it was entirely random and there was no significant factor that was causing it. It's becoming worse. I don't tell my parents when I'm feeling anxious very often.

Is there any way I could potentially see my GP, ask him if I could speak to somebody about it, all without my parents really knowing? I should probably mention that I'm 18, still in full time education too.