If you feel dizzy all the time, it might be something wrong with your prescription. Maybe the prescription in the glasses lenses are stronger than your real prescription, which will make you get blurry vision and headaches. If it is serious, it can cause dizziness on you. In this case, you should take your prescription glasses back to the place where you bought them and ask them to re-check your glasses. If you do get wrong prescription, you should change for a new one fitted properly.
It is normal for people who first wearing prescription glasses or wearing new glasses. You may need several days to adapt it. If you still feel dizzy or discomfort after a week, you need ask optician adjust the glasses for you. Seriously, you need visit eye doctor for eye checked for a accurate prescription for your prescription glasses. Good luck.