You created a branch local and want now to push it to your existing browser.
creating a branch and switch to it:
$ git checkout -b localBranch $ git commit -a
after that you want to push the hole branch to your repositiory:
$ git push -u origin **localBranch**
after that you will see this line output after it is pushed to repository:
* [new branch] localBranch -> localBranch