Single ventricle congenital heart defects, which are characterized by cyanotic mixing between the oxygenated and de-oxygenated blood, afflict 2 per every 1000 live births. These defects are surgically treated by connecting the superior and inferior vena cava to the pulmonary arteries. However, such a configuration (also known as the total cavopulmonary connection), results in high energy losses and therefore the optimization of this connection prior to the surgery could significantly improve post-operative performance. In this paper, a surgical planning framework is proposed. It is exemplified on a patient with pre and post surgical MRI data. A pediatric surgeon performed a "virtual surgery" on the reconstruction of the patient's anatomy prior to the actual surgery. Post-operative hemodynamics in the virtually designed post-surgical anatomy and in the actual one are computed using computational fluid dynamics and compared to each other. This framework provides the surgeon to envision numerous scenarios of possible surgical options, and accordingly predict the post operative hemodynamics.