As Mercurial said, the stars basically look exactly the same as you see them with your eyes - twinkling dots. There's just a WHOLE lot more of them, depending on the aperture size of the scope and it's light gathering ability. The larger the aperture, to more light is gathered making it possible to see fainter stars.
What you are able to do is to separate (split) multiple and binary stars. Through the telescope you can see two (or more) stars where you would only see one star with your naked eye. Both the stars in the tail (pointer) of the Southern Cross are multiple stars.
Some other amazing things to see are star clusters.
Globular clusters are circular clusters of stars with hundreds to millions of stars within the cluster. My favourite is
Omega Centauri with around 10 million stars!
Then you get
Open clusters which are basically close groupings of less than a few thousand stars. The Seven Sisters (Pleiades) are one of the most famous open clusters.
You can also see nebulae, but don't expect Hubble type views. You won't see any colour and most of them require a very large telescope as well as various filters to see properly. Normally they appear as "misty cloud like forms" around stars.
The same goes for galaxies. Most of them are extremely faint, and you will only make them out as "smudges" with brighter cores.
Finally, and the things most people look at easily is the planets. Saturn and Jupiter are the ones you can see the best, even with smaller telescopes. You can very easily make out Saturn's rings and see the reddish bands around Jupiter. Their moons also show up very nicely around the planets (they look like stars).
Most amateur astronomers have their favourite type of object. Some love to track down the "faint fuzzies" - galaxies, nebulae and other Deep Sky objects, others prefer to focus only on nebulae and yet others only stick to the planets. Astronomy isn't just about looking at stars. There's a whole new world of objects to explore... there's so much out there that you'll never get bored.