WWITv is a good starting place for streaming television from around the world. If you want to watch the news from the region this is one avenue for checking current events. Music video is also available here.
Serbian public broadcast channels that function at the national level include Radio Television of Serbia, Radio Television Pink, Prva Sprska Televizija and Nacionalna Televizija Happy. Each of these websites offers an overview of the station, programming and scheduling, clips, and in a couple instances live streaming.