Hi smoothfreeze, First of all you are not going to get a valid p2pool share on the sharechain with 32mh/s. you need around 1th/s to get shares that count towards a block.
Essentially there are small "shares" that are sent to you by the node, they contribute to a full share on the sharechain but you need to get a share before the next block comes and that share needs to stay valid until the block comes or it can drop off the sharechain.

In a nutshell it's a block broken up into a bunch of tiny bits, when you mine direct to bitcoin you must solve a whole block to get paid but on a pool, any pool, you mine shares and then you get a certain number of shares in the block based on your hashing power. each miner in a pool mines together to increase the chances of getting a block.