My creative writing process Varies. When I'm writing to express myself, I usually write freestyle poetry with no sort of brainstorm, just pencil to paper. However, I make this my first draft, and then edit and revise to make a better clearer version.
For an academic writing assignment, I make thought webs, throw it all into draft one, do peer revisions, and then do draft two.
However, during both I usually require peace and quiet with soft music in the background and I write best during rain and thunderstorms.