This is just a simple little set up you can use to get Laravel 4 installed locally and pushed to it's own Github repo. You'll ned to have Git and Composer installed :)
Clone the Github repo and changed to folder (in this case laravel4-project, but name it what you like)
$ git clone -o laravel https://github.com/laravel/laravel.git laravel4-project $ cd laravel4-project
Move/rename master to laravel branch. Create new master branch with fresh history.
$ git branch --move master laravel $ git checkout --orphan master
Add files and make your first commit.
You could also push this to your remote repository now.
$ git add -A $ git commit -m "Initial commit. Add Laravel Framework" $ git remote add origin URL_OF_YOUR_GIT_REPO_HERE
composer install to "install" rest of laravel, or rather it's dependencies through composer.
$ php composer install
You can then run
$ php artisan key:generate to generate the encryption key and finally
$ php artisan serve
(if your on PHP 5.4, otherwise check your localhost/laravel4-project/public.)