Dr Woo graduated from the National University of Singapore with a Bachelor of Medicine and Bachelor of Surgery in 2006, winning the Gold Medal and Book Prize in Ophthalmology. He trained at SNEC and obtained the Master of Medicine (Ophthalmology) degree in 2012. He attained accreditation as a Specialist in Ophthalmology in 2015, after passing the Joint Committee in Specialist Training Exit Examination as a multiple Gold Medallist.

Dr Woo holds a Master of Science degree in Evidence-based Health Care from the University of Oxford. He is also a qualified Fellow of the Royal College of Ophthalmologists (United Kingdom) and Royal College of Surgeons of Edinburgh by examination as well as a Fellow of the Academy of Medicine of Singapore.

Dr Woo completed a 2-year fellowship in Cornea and Refractive Surgery at SNEC in 2018. From 2019 to 2020, he underwent a 1-year specialized fellowship in Paediatric Cornea and External Diseases at The Hospital for Sick Children (Sickkids) in Toronto, Canada, a major paediatric centre in North America for clinical care and research. His stint at Sickkids makes him one of only a few doctors internationally to have been specifically trained in the management of corneal conditions (both common and rare) and transplantation in children.