Linux Error 13: (Permission denied) are you root?

This error simply means you are not the root user.

me@linuxbox ~#apt-get update
E: Could not open lock file /var/lib/dpkg/lock – open (13: Permission denied)
E: Unable to lock the administration directory (/var/lib/dpkg/), are you root?
simply install it using the sudo to install any package as a root user.
This occurs because you are using a normal user account

You forgot the sudo for the second command.
me@linuxbox ~#sudo apt-get update && sudo apt-get upgrade will work.