You can take the Parla line from Madrid to Getafe.
You can travel from Atocha bus station to the city center of Getafe if you take the 441 or 442 bus.
Taxis from Madrid cost 15-20 EUR, and are the only option to get to Getafe after a late night out (1.30 or 2.00 AM).
In Getafe there are 5 train stations and many bus stations which leave you in the city center or around, wherever you want.
If you are a student, in Getafe there is Carlos III university.
If you like shopping you should walk along Calle de Madrid.
You can have a really fun night if you go to "Cabaret Madrid", a pub where you can drink and dance until 6 o'clock.