Key Points:
Cape Town is one of the best travel destinations in the world.
Nomadic Matt has provided a pretty good travel guide for Cape Town.
The primary things to do in Cape Town include: City Center and Table Mountain (1 day), Robben Island and Kirstenbosch Garden (1 day), Boulders Beach Park and and Signal Hill (1 day), Clifton Beach and the South African National Gallery (1 day).
According to Wikipedia, "Cape Town is one of South Africa's three capital cities, serving as the seat of the Parliament of South Africa. It is the legislative capital of the country, the oldest city in the country, and the second largest (after Johannesburg). Colloquially named the Mother City, it is the largest city of the Western Cape province, and is managed by the City of Cape Town metropolitan municipality. The other two capitals are Pretoria, the executive capital, located in Gauteng, where the Presidency is based, and Bloemfontein, the judicial capital in the Free State, where the Supreme Court of Appeal is located."
Here we quote the best way to travel in Cape Town provided by Nomadic Matt, a New York Times best-selling author of How to Travel the World on $50 a Day and Ten Years a Nomad, as well as the founder of his website.
Check ChatGPT's answer for alternative itinerary.