To be fair, there is indeed an oversaturation of graduating students even in science. Coming out of university with a Bsc gives you almost no prospects in the field (at least when trying to enter), unless you're willing to work at a position for 25-30K. , I've had science professors tell us that 'university is to learn, not to find a job. If you want a job, go to a vocational school'.
I knew coming out of my first degree I wasn't getting unless I had a well connected uncle or some - this was the same for all of my peers. Even after my masters degree (which was extremely rigorous) you're looking at working as a lab technician/technologist/clinical trial coordinator for ~35K.
I had to go to a college program (concept of colleges here are slightly different here; refer to technical schools for specialized professional/vocational education) which offered an internship component in order to get my foot in the door. It's definitely possible to do the grunt work and make connections completely on your own, but depending on your field you're realistically competing against thousands of students putting in the same work.