Simple Storage comes with a simple user interface. There is not much that you need to learn in order to use the application.
Click the green Upload button to upload a file, or drag anywhere onto the screen and drop your file right into Simple Storage. You can also click on the images or links to open the file in a new tab, right as it is seen on the server-side. You can even host entire websites as long as you can fit them into a single HTML file, or so some path trickery.
The advanced view offers more options for uploading, such as bulk uploads, pre-upload selection, select all, and cancel all pending uploads.
The disclaimer is there to prevent anything from coming back to bite. As long as you are being respectful of the software and keeping your file uploads legal, you won't have any problems.