Most people volunteer time at the "One World Clinic". It is held in the Creighton Clinic every other Thursday evening after class. Basically people come in and get their dental needs taken care of for free, or a minimal fee of $20. They are always asking for volunteers to help with that. That is the main one here, I'm sure there are others in the community, or any community for that matter.
As far as research, during the second semester of the freshman year, you will be placed in a "table clinic" research group. You and your group will have a faculty mentor and will spend a lot of time doing research and preparing it for a presentation at the end of the year. Some students went on to do research over the summer and beyond. At that point it is basically up to you to work something out with a professor you would like to do research with.