I do a lot of supporting projects, and for me the main difference is in the natural planning model, where a lot of that info is generated by me when I'm the project manager, but a lot of it is set by others when I'm supporting. I use Word for this, and I have made my own templates for projects I'm leading and projects I'm supporting.

There's also a lot of different information to capture, like clarifying what my role is and when things are due. A lot more of the tasks can tend to be agenda items, but whenever I'm given a specific task it's really important to establish a due date so they don't complain you are taking too long for things you didn't realise were urgent.