The drug store has a pharmacy and all kinds of over-the-counter (non-prescription) meds like cough syrup and aspirin. They also sell candy and toiletries.
Of course, the ones by me are HUGE and also sell clothes, rent DVD's and just about anything else you can imagine!
We don't need grocery stores with all of the drug stores.
So the drug store is the same as our chemist somehow I got the impressions from American TV programmes that it was different.