In this poem,the speaker talking about Browning being excited and content with his life. He states that his star (and world) has "opened its soul to me therefore I love it". Since the poem is speaking about a star that has opened its soul to him and is "like a flower" most likely the poem is about his love.
A short and simple poem published as part of Men and Women in 1855, "My Star" is impressive in its concise contemplation of love's singularity. It puts forth the idea that love is an intensely subjective experience that is appreciated differently by each person.