Are Amita Buddha and Gotama Buddha not one and the same?
阿弥陀佛和释迦牟尼佛不是一个人吗？

No, Amita Buddha or Amitābha is the Buddha of another world. The Chinese term "Amituofo" is the transliteration from Sanskrit of "Amitābha", meaning "boundless light".
不是。阿弥陀佛是另外一个世界上的佛。阿弥陀佛是梵语Amitābha的音译，意义是“无量的光明”。