Gparted live isn't a "general purpose" Linux distribution. It is made especially as a system tool so that one can run GParted in a computer without installing it (as well as the required libraries). That's why there is no software repository or other facilities like those you can find in, e.g., Ubuntu, Linux Mint, Puppy, Fedora etc. Gparted Live isn't designed to be installed in a hard drive as Ubuntu or others. It just provides the base system and some basic tools required for its tasks.
For the everyday's computer work you can use one of the 10s (or 100s) existing distributions.
However it is possible to install applications in case they are useful for the administrative/managerial tasks. GParted live is based on Debian live, so you can look there for applications. Please give a look at the GParted Live Manual for info about basic tasks.
It is even possible to compile a new version of GParted live, including additional software, however this needs deep knowledge and experience of the Linux operating system as well as information technology in general.
Regarding .exe files, I guess you mean software compiled to run under ms windows o.s. It isn't possible (in general) to execute such files under Linux, and this isn't the scope of GParted.
*** It is highly recommended to backup any important files before doing resize/move operations. ***