What kind of jobs are available for someone who wants to pursue a major in public health? Is it recommended to add a minor specification?

There are jobs in health care organizations (quality assurance, process improvement) as well as positions in local government in areas that administer community health programs. Community clinics also need help with administration. It would be very helpful if you did an internship (or multiple internships) in healthcare prior to graduation. However, I would advise you to assume you will need to go on to a Masters in Public Administration (MPA), Masters in Healthcare Administration (MHA) or Masters in Public Policy in order to really use your education on the job. Some organizations may be hesitant to hire new college grads (Bachelors) for anything approaching managerial responsibility unless you have accumulated some experience in the field while in school. So plan on your education including a Masters degree and if you are able to get a position beyond entry level with your Bachelors you will be ahead of the curve. Pursue the internships to maximize that possibility. Those internships will also make you a much more attractive candidate for Master's programs when the time comes.