Okay I figured it out with a little help from http://guides.neo4j.com/browser.html
Run :style and copy the style to a file with the extension .grass.
Modify it and drag that file and drop it back on the browser.
I am using Neo4j Desktop version 1.2.1, and in the Browser I do not see an "import pane" in "Favorites". All I have is "Saved Scripts" and "Sample Scripts". Did this change?