getting update that remote branch has new commit?

Question

Is there a way in git to get an update new commit has been made to the branch by the user?

I have used a command git notify, but it only gives notification if user pulls the branch

Answer 1

I guess a few git clients with a gui will have this option, one of them is SourceTree. It will basically keep checking the repository every so often, in SourceTree by default I think is 10 minutes, configurable.
If you don't want to use these kind of programs, you could create a script to either run it whenever you want to check the repository given a time frequency. For that:
Supposing that origin refers to the repository, you would need to do

git fetch origin

Then, the remote branch origin/master will contain the snapshot of master in the remote repository. Now, you can compare master and origin/master with

git log master...origin/master

to see the commits that are only in master or origin/master.