As for the shopping, you can get anything you want and the prices were really decreased. of course except Chanel, Dior and exc. But Gucci, Burberry, Dolce&Gabbana, and so on have really good sales.
Also you can visit Schonbrunn castle, it is very beautiful and it speaks history.
There are many water fun things to do, such as boat sailing, swimming, rafting and so on. Donau river floats all way through Vienna so in the evening there is a very nice breeze coming because of it.
So, i hope this post is helpful to you. Go to Vienna, have fun, do crazy things and empower your educations.
And of course, look and dress fabulously.