Yea, methought I saw, even as our father saw, God sitting upon his throne, surrounded with numberless concourses of angels, in the attitude of singing and their God; yea, and my soul did long to be there.
I've put in bold the words that match.
And being thus overcome with the Spirit, he was carried away in a , even that he saw the open, and he thought he God sitting upon his throne, surrounded with numberless concourses of angels in the attitude of singing and praising their God.
One interesting note--the consensus opinion is that Joseph Smith dictated Mosiah through Moroni and then started on 1 Nephi - Words of Mormon. Hence, the passage in Alma 36 would have been dictated prior to the passage in 1 Nephi 1.