@johnpowell is quite correct about the availability of programs at community colleges. Here is a complete list of schools offering a mortuary science program.
I was also interested in this career and went and interviewed a local funeral director to learn more about the profession—not my thing exactly. I am very interested in the funeral director part of it (front of the house) and less interested in the mortician (back of the house) aspects of the profession.
I used to teach a college course (in social work) and my students wanted a behind-the-scenes tour of a funeral home and in one case I was able to set that up, in another, I interviewed a funeral director on videotape and he did a great job of explaining the goals of the profession, showing and explaining the use of various pieces of equipment, etc.
In addition, have a small collection of simple things used in preparing the deceased—like plastic eye caps (to keep the lids down), trochar buttons (to seal the hole in the belly they make draining fluids from major organs), the nails and wire they use to close the mouth, etc. I am able to show the video to my students and then pass around the small parts for people to see and touch in a non-threatening environment.
I have also gone to the state association of funeral directors in my locale where they have an extensive video library of a variety of related topics. Some are educational regarding the industry (as a business), others were fascinating to me. Funeral directors in my state are part of the response team to large disasters in which many people are killed. One of the videos explained their role in DMort so local funeral directors would know how they needed to prepare to work in this vital role.
In every case, I have found funeral directors to be very willing to talk to me, to share information and to explain things. It is probably one of the few remaining businesses where they hope to garner YOUR family’s business across the generations. As a result, I find that they are hard-wired to be contributing members of a community and more than willing to share information with interested others.