Not quite.
The claim is usually made by Protestants that the OT deuterocanonicals were "added" to the Bible by Trent. The problem with this is that the NT canon and the OT canon were both fixed around the same time in the west -- around AD 400 -- and the OT deuterocanonicals were included at that time. The council of Florence reiterated the same canon 100 years before Trent. That is what people mean by "the same canon the church always used". There was no dramatic "adding" of anything by Trent; they were reaffirming a holding that was widespread, if not universal, for a thousand years.
The east didn't recognize the western local councils which fixed the canon in the west, and fixed their canon much later (1670's) as Kolo notes. But they also included the OT deuteros in the Catholic Bible, plus some others.