Look at the documentation at www.Laravel.com it has extensive information about how to upgrade from one version to the next.
If you want to be sure then:
There are no breaking changes in minor versions, in fact it should do that upgrade itself if you run composer update (remember this is how you upgrade locally on the development machine, and that the command on the server is composer install --no-dev)
Feel free to ask me questions about Laravel. I have worked extensively full time on it for 5 years :-)