Petitions on Change.org work similarly to offline petitions. In an offline petition, your information goes directly to the target.
Here's an example scenario for how an offline petition works.
You sign a petition to support a local bill (let's call it Bill ABC123) that would protect the environment. This petition targets your state representative. Once the petition reaches its goal, the representative is contacted with the petition letter. It would look similar to this:
I, (your name), would like to express my support for Bill ABC123 to protect the environment. It is critical to the local economy and will help grow and sustain small businesses.