I worked in a Neuroscience lab. One of the professors in the department had an MD/PhD and found out I was interested in medicine. He gave me the email addresses of some of his friends in the university's psychiatry department and I asked them if I could volunteer there. The moral: find people who are psychiatrists. Ask them if you can volunteer. It's that easy.
I actually really enjoyed volunteering there. It's unlike anything you've ever seen. It's like part jail part hospital - it's sort of bizarre. It was very fulfilling, especially because of the contrast with my basic research experience that was ostensibly related to mental illness. I volunteered in the morning & was able to contribute to the daily rounds, just talk with the patients, help deal with the surly ones (the geriatric ward in a mental health center is the only place where someone as scrawny as me can feel strong), and I definitely was able to see the physician/patient relationship and watch the evolution(and it really was like flipping a light switch) of that relationship as the patients began to increasingly trust the doctors, residents, medical students, nurses, social workers, technicians, etc. And then one of the MD/PhDs there started asking me to present scientific journal articles at daily rounds. About my journal articles, about other people's, then about his old stuff from when he got his MD/PhD and the new stuff that came out of that. That's when I got out. This guy had an MD/PhD and didn't do anything scientific and pretty clearly wanted to use me to indulge and rekindle this lost part of his life. Make sure you do clinical stuff when you're there. I presented journal articles during journal club as part of my job. I didn't go volunteer to do the same thing I did at work - I went to learn about psychiatry and medicine.
