What do you recommend from the 24th to the 30th?
That's really a bit broad. Have you been to Rome before? Are you looking for recommendations on what the best sites are to visit or for what events might be happening during that week? Or are you asking about what day trips out of Rome are worthwhile?
For sights to see, Rome is a feast for ancient architecture, making it an excellent city to roam at large. And I always recommend the gelato.