The literary form Nephi will follow will use a repeated form. The Spirit will command that Nephi look. Nephi says he looked. This makes for a quite repetitive series, but it is intentional. It is best read as a conversation, where the command comes, and then Nephi learns as a result of the command.
In the beginning of Nephi’s version of the dream, he looks and sees a tree. He sees a tree “like unto the tree which my father had seen.” Why didn’t he say that it was the same tree? Perhaps it was, but Nephi’s vision is slightly different, because the function of Nephi’s dream is different.
The differences are apparent in the use of the color white as a symbol. When Lehi looked upon the tree, he saw white fruit. The emphasis of his dream was on the fruit and the members of his family (and all of humanity) partaking of that fruit that brought heavenly joy.
Nephi sees a white tree. Nephi’s vision will not focus on the symbolism of the fruit, but on the symbolism of the tree itself. A white tree is unusual, but this is an exceeding whiteness. This is not an earthly tree, but a tree demonstrating a divine presence.