Dear student,
Photorespiration is also known as oxidative photosynthetic C2 cycle. There is no difference between Photorespiration and C2 Cycle. Photorespiration is a light-dependent process and also it is a salvage pathway for 2-phosphoglycolate (2-PG), which is the product of the oxygenase activity of RubisCO or ribulose 1,5-bisphosphate carboxylase/oxygenase, to the C3 cycle or Calvin cycle intermediate phosphoglycerate.
Regards.