Just considering the layout, the poem is organized in three rooms, of ten lines each. The rhyming scheme is ABBAIn "The Sun Rising," the speaker orders the sun to warm his bed so that he and his lover can stay there all day instead of getting up to go to work. 

The poet personifies the sun as a “busy old fool”.  He asks why it is shining in and disturbing “us” (4), who appear to be two lovers in bed.   The poet then suggests that the sun go off and do other things rather than disturb them. He imagines a world, or desires one, where the embraces of lovers are not relegated only to the night, but that lovers can make their own time as they see fit.

In the second stanza the poet is emphasizing that the sun has no real power over what he and his lover do, while he is the one who chooses to allow the sun in because by it he can see his lover’s beauty. That is, all the beautiful and sovereign things in the world, which the sun meets as it travels the world each day, are combined in his mistress.