I would suggest checking if there are forums for Biology majors. In our university those forums have lots of job postings. They are usually for undergraduates, but if they know you want to learn they could hire you at the same pay as undergraduates.
If there are any research projects you are interested in (by reading some of the research papers published by researchers in your university), you can always contact the PI. In the beginning, they may just allow you to volunteer, and slowly move you to a technician position (which is what usually recent college grads usually start as - I think).
Good luck!