I was injured after an accident. How can I get compensation for this?

I got rear-ended which resulted in pain in my back and shoulder pain. I haven't been to the doctor but I was wondering if I get any compensation for this?

Compensation is normally paid by the insurance company of the at-fault driver if you have to go to the doctor/hospital or if you have to miss work. You'll need to contact their insurer to begin the process unless you don't plan on getting medical attention for your injuries.