You will need the following:
1) A well formed tree branch
2) Paint, if you choose to paint yours
3) Sand paper to sand off any flaky bark
4) Curtain tie backs to use as the support for the branch. (Note in last photo)
You can hang almost any style curtain from a branch: rod pocket, tab, swage, etc. However, with the branch curtain rod the curtains will have to be fixed and will not be functional. Purely for decorative purposes.