Netbeans/Git; copy individual files between branches

Question

I'm using Netbeans with Git (hosted on github).

Github uses a special branch in the git repository, "gh-pages", whose content is hosted on their site.

My project generates a stylesheet and demo webpage, which I'm hosting on github to demonstrate the generated stylesheet. In order to do this, I usually just copy the entire "master" branch into "gh-pages" branch and clean-up the "gh-pages" branch afterwards. Needless to say this isn't the most ideal way of working.

I'd like to be able to copy a single file from the "master" branch into the "gh-pages" branch, preferably using just Netbeans' builtin Git support. Is there any way to do this?