Are shogun and shogunate the same?

No, a shogun and a shogunate are not the same. A shogun is a military leader or general in Japan, historically the de facto ruler of the country, while a shogunate refers to the government or administration led by a shogun. The shogunate represents the institutional framework that governs Japan under a shogun's authority, such as the Kamakura or Tokugawa shogunate.