Bodhi Linux makes this method of installation so easy there is hardly any need for instructions at all. Just click the Install Now button on the page of the application you wish to install, enter your password in the pop-up window that appears and confirm that you do want to install the package in the next pop-up window. That's it! In a few minutes (or less) your new software will be ready to go.
The Install Now button also causes your system to do an apt-get update which ensures you get the most current package versions available. Note that it is necessary to use the Install Now button on a fresh install unless you have updated your system by another method.
The Quick Install text link below the buttons will allow you to install a package without the apt-get update process.