Suetonius writes that after the death of Caligula the Consuls and Senate were determined to restore the Republic. What was their plan to restore the Republic?

Suetonius writes, "The Consuls, with the approval of the Senate and the aid of the Urban Cohorts, had seized the Forum and Capitol and were determined on restoring the Republic”.

What does he mean by this? What kind of plan did they have to try and restore the power of the senate and bring back the Republic? I can't seem to find much if any information on it.