This bit's tricky at first, but gets fun if you get good at it. I suggest you find a place where it doesn't matter how goofy you look and tap your finger/clap for every syllable, bit of punctuation and end of a line you read. This is a good way to feel the poem's flow (like how good musicians pause or emphasize important words and lines)
Does the poem have a steady repetitive rhythm?
Does the poem ever break rhythm? If so, on what line? what can emphasis on this line mean?
Does the poem's structure suggest anything of it's content?