JUNO will be the largest ever built liquid scintillator detector for neutrino physics. It will be sensitive to various neutrino sources, and will have a unique contribution to the observation of the all-flavor neutrino flux from a Galactic core collapse supernova (CCSN) with high statistics. For the purpose of maximizing the physics reach of JUNO when used as a neutrino telescope, two trigger systems will operate in JUNO to search for a transient astrophysical signal in real time: a dedicated multi-messenger (MM) trigger system and the Prompt CCSN monitor, embedded in the global trigger system. This contribution will compare the performances of the JUNO global and MM triggers, including the impact of the C14 background contribution to the latter, which operates at an unprecedentedly low threshold of ~20 keV. Some interesting physics cases for the MM data stream will be considered, showing the capability of JUNO to constrain CCSN physics using the neutrino time series. Finally, the Prompt CCSN monitor trigger will be used to infer the JUNO uncertainty for timing the start of the neutrino signal.