Answering in general terms, not about any particular case:
When state A where a crime was committed wants to arrest somebody, they issue a warrant for his arrest. When LE in state B notices the person in their jurisdiction, they can arrest him on that warrant and hold him for state A. There will be an extradition hearing where state A formally says, "Please give him to us." The suspect will usually waive extradition, in which case state B turns him/her over to state A and state A takes him/her back to their state and formally charges him/her with the crime. The suspect can choose to fight extradition, in which case state A has to provide evidence that he's the person they're looking for.
All of this can take several days. When arrests happen over the weekend, it can be a couple of days before a judge is available.
Extradition hearings are usually but not always public.
Exact procedures vary in different states.
And I am not a lawyer, have never played one on TV, and have never worked in the judicial system either, so I might well have this wrong. Would appreciate correction if I am