The name says it all, BIOmedical, medical sciences referring to the body.
Biomedical science teaches subjects such as haematology, microbiology, immunology, molecular biology and histology. You're learning about all the biological systems of the body at a very close level. You learn about the pathology of the human body and how certain diseases affect it. So it's somewhat of a diagnostic course. e.g in haematology you learn about certain leukaemias and in histology you learn about certain disease states in the tissue and how to find them.This course is more geared towards people who want to work in a diagnostic laboratory/biomedical research after they graduate or move onto post grad medicine. I'm doing biomedical science
Medical science contains subjects such as neuroscience, pharmacology, behavioural science, anatomy, microbiology and a few other subjects. In this course I guess you don't go into as much detail in every system as you do with biomedical science. I don't really know alot about the medical science course so I can't really comment that much about it.
I just completed a tafe pathology course where basically we were taught the same subjects as the biomedical science course, but with a more practical approach i.e laboratory skills such as how to run certain tests. You'll be shown how to do laboratory tests in either course i guess, but you'll probably be more skilled(laboratory wise) if you do biomedical science, as the course offers a wide range of subjects.
It depends what your outcome is for a career that'll depend whether you pick biomedical or medical