As you already know, Ubuntu Touch will be released in October. But until then, if you are an impatient geekster, you can install and test some of the Ubuntu Touch applications on Ubuntu 13.10 Saucy Salamander, which is currently in development.

But keep in mind that this applications are optimized for a touch screen phone, so they can be tested, but you may find it difficult to use some features with keyboard and mouse.
How to install Web Browser App on Ubuntu 13.10 Saucy Salamander:
Ubuntu Touch will have its own browser, created by Canonical, called Web Browser App. Web Browser App, based on Google’s Chrome (Webkit), will have the address bar located on the botton of the screen, allowing the users to access the opened tabs easily, a + sign, like Mozilla Firefox has, for opening new tabs, which will display thumbnails of the most visited sites, a feature that allows users to create .desktop launchers for their favourite sites and other features.
If you want to test it earlier, you can install Web Browser App on Ubuntu 13.10 Saucy Salamander, like this:
$ sudo apt-get install webbrowser-app
How to install Notes App on Ubuntu 13.10 Saucy Salamander:
Another interesting application arriving with Ubuntu Touch is Notes App. To install it just type:
$ sudo apt-get install notes-app
How to install the Gallery App on Ubuntu 13.10 Saucy Salamander:
Ubuntu Phone will also have an awesome application for the photo gallery, called Gallery App. You can view the photo library by event or album, open and rotate or crop the pictures et cetera.
To install Gallery App on Ubuntu 13.10 Saucy Salamander, do this:
$ sudo apt-get install gallery-app
If you don’t have Ubuntu Saucy Salamander yet, you can download a daily build and install it on a virtual machine.