I have a remote git repository that really replaced everything we had in another older SCM. Many projects and products have been added to the repository over the years.
Pull down the branch like normal and then push the branch to a new repository that you have created using git init. You would use code that looks something like:
git push url:///new/repo.git TheBranchFolder
This method also keeps all of your previous changes if that is a plus for the situation.