Dream and It are capitalized like God/He are.
That "your Dream" was very much like that as well.
If you look carefully, there is "you are alone in the dream" which speaks of it not as a living entity, not as a mythic entity, in the second stanza. But then all capitalized uses are very much intended.
The italicization of Dream was added for this version of the poem, because of the immediate repetition. As a reading-stress.
Thank you for the reply Steve :3