There's always this need in the back of my mind telling me to be productive.
Oh, I'm intrigued! Why do you think that you always need to be productive?
I hate being idle. I have done nothing all my life
If you feel that you have done nothing in your life so far, then being productive is a good change. It is good to contribute to society and be a hardworking person.
No, what I meant was that I have done a lot of nothing in my life. I want to quit school and get a job so I get some real life experience.
That's okay, while I don't think that you should quit school to get a job, I do think that wanting to contribute to society is a good thing. That drive can make you very successful in life.