I'm wanting to know whether or not a Bachelor of Science can lead to a career in working in a pharmacy like a Bachelor of Pharmacy will.
No a Bachelor of Science will not lead to work as a pharmacist, it is different from the Bachelor of Pharmacy. Let me answer your next question first, it'll make better sense.
I suppose Science has a broader range of studies - is it more about the anatomy and cell biology? Would this lead to DNA/genetics research (I'm also interested in this.)?
You can choose to specialise your science degree in many areas - physics, mathematics, anatomy, cell biology, genetics, zoology, marine biology, you name it. So if you are interested in DNA/genetics research, you can quite easily choose to specialise in that area if you wish.
Btw, what's the difference between pharmacy and pharmacology?
One of the other things you can choose to specialise in a Bachelor of Science degree is pharmacology.
Pharmacology is the actual 'science' behind drugs and medicine, you will learn how drugs and medicine work, you will learn how it affects the body and side effects, and how to develop new drugs and medicine. The areas of toxicology and venomology are part of pharmacology as well. Toxicology is the study of poisons (from chemicals), and venomology is the study of venoms (from snakes, spiders, blue ring octopus etc), and how each of them affect your body. Sometimes new medicines can be developed from venoms too. It's a very interesting field of science. Pharmacology is about research and development.
In the Bachelor of
Pharmacy, you will learn the science of pharmacology
and how to apply that knowledge to dispense the correct drugs and medicine to customers/clients. So when a doctor writes a prescription, the pharmacist will know exactly what drug to give and how much, and pharmacists are also qualified to recommend some minor types of medicine to customers without a doctor's prescription. There are many
pharmacists who don't actually work in a pharmacist/chemist shop, they work in research and development along with
pharmacologists to develop new drugs and medicines.
The advantage of doing a Bachelor of Science is that you can specialise in a wide range of science, you can quite easily specialise in genetics and pharmacology simultaneously. But the disadvantage is that you will not have a qualification to work as a pharmacist.
The advantage of doing a Bachelor of Pharmacy is that you will study pharmacology and pharmacy, and you can then choose to work as a pharmacologist in research or you can also work in a pharmacy/chemist to dispense medicine and drugs to customers/clients. But it's a very focused area and doesn't offer as much range as you can get in a Bachelor of Science degree. If you are 100% sure you want to specialise in pharmacy/pharmacology only, then it's the right degree for you.