[Remember, that with all art, once it is released to the "public," it means something different to everyone, especially because of the unique experiences each person brings to that piece of art.]
As one who loves poetry, I have found that most poems do not follow a line-by-line organization, with a complete thought in each line, but deliver, instead, a series of ideas that make up, in this case, a fourteen-line heart-felt expression: in the form of a Petrarchan, or Italian, sonnet.
In "Sonnet 131," also known as "I'd sing of love in such a novel fashion," the first line indicates that the author is personifying love, and that "she" is often cold and unattainable. The writer states that if it were in his power, he would write in such a novel (new or unique) way, that he would gain control over her.
The author would force her ("love") to sigh a thousand times each day (perhaps something he knows from experience, but certainly something usual for those in love). And he would rekindle, reignite the fires of passion over and over in her mind, which he describes as "cold," indicating that in reality, he cannot move her to change her "behavior" toward him.
In the second part of the octave (eight total lines), the author, still in control, would overpower her so that "love" would become more human, gentle, "compassionate," as someone might cry with regret having cause another pain, now that it cannot be undone. In this set of four lines, the writer infers that "love" is not compassionate, but heartless, feeling no remorse for the heartbreak she brings.
Traditionally, a "shift" takes place between the octave (first eight lines) and the sestet (last six lines), in terms of the poem's structure.
For lines 9-11, the author speaks of scarlet roses on the snow— symbolically, I believe he refers to passion that falls flat in the face of rejection: red roses are symbolic of passion, and snow is symbolic, in this case, of a lack of warmth or requited love.
The reference to "ivory" may be directly symbolic of dreams—dreams of truth. In this segment, the author wishes to discover an ivory that turns one who sees it (perhaps the dream of love?) into unfeeling marble, preventing those persons from being crushed in affairs of the heart.
The last three lines summarize the poet's feelings. He notes that all the "items" on his list so far, he would carry out:
...because I do not mind / my discontentment in this one short life, / but glory rather in my later fame.
"Later fame" may refer in a way to the poet's "afterlife;" what he speaks of may be found in the notoriety or fame brought on by the ability to create art (poetry) which, in its way, provides immortality—which simple love cannot do.
Source: Ferber, Michael. A Dictionary of Literary Symbols. New York: Cambridge University Press, 1999.
you really helped! :D