I saw a story about the development of sports and gambling business in Africa. It seemed promising to me. Now I am wondering if Uganda is among those African countries that have legalized the bookmaking business?

I am very surprised that you did not find the necessary resource quickly. Africa is the continent where sports betting is an element of national character. Well, here is a direct link to the local bookmaker of Uganda - https://1xbet.ug/ I used it myself a few years ago when I was really into local boxing. It's a really unusual spectacle where the odds are the highest for betting.