After graduation you can think of both Masters as well as Doctor of Medicine courses. These courses allow them to have specialization in diverse areas of Homeopathy. It also improves the in depth knowledge of the individual in that particular area of study.

There exist a lot of employment opportunities for aspirants who have completed their Degree in Homeopathy. Professionals in Homeopathy can consider starting their own clinics or they can work in homeopathic departments of hospitals. They can find opportunities in public and private sector organizations like:
Clinics
Charitable Institutions
Consultancies
Homoeopathic Medicine Store
Hospitals
Medical Colleges
Pharmacies Research Institutes
State Dispensaries
Training Institutes

You can even work as a Doctor, Consultant, Pharmacist, Private Practice, Public Health Specialists, Researchers and as a teacher as well.

It totally depends upon your choice and interest.
Good luck!