You can see the lot of monuments. You can see 'castel sant'angelo' or the colosseum and tha arch of costantine or a lot of museum of the hystory of rome. when you are at rome you can visite the vaticano.
For young people
STADIO OLIMPICO:the young people in the week can see the football match of the "A.S. ROMA" or "S.S. LAZIO"
DISCO:they can go to disco were the dance all night.
what do you stay?
In rome there are a lot of hotels,flats or bed and breakfast. the young people can stay at 'ostelli della gioventù' when you pay no much.