First, go through and note all nouns. Then look for the presence of verbs before them. If you find one, you're looking at a modifying clause. These take the form of embedded sentences (and remember that a Japanese sentence may sometimes be no more than a verb). This is usually the source of confusion when learners ask about a sentence with multiple が or を. These are represented in English by relative clauses. If you don't know what those are, stop now and go read up on them.
Now eliminate those and see what you have left. It should be a much more comprehensible simple sentence.
With that all in mind, go look again at the sentence and see if you can follow along with the process. Actually use various brackets or other visual devices to help you see things; it will help you. Try it on some other sentences as well.
And if I were you, I wouldn't give another thought to all that subject marker, topic marker crap. It just confuses things.
By the way, that sentence doesn't have an object....the modifying clause contains an object. Big difference.