What happens when your German degree finishes
Your student residence permit is tied to your studies, so it does not simply continue once you graduate. Graduates of a German higher-education institution can apply for a residence permit to seek employment appropriate to their qualification. You apply at the Ausländerbehörde covering the district where you live, and you should start before your student permit expires rather than after it lapses.
This is a genuinely different system from the UK or Canada. There is no central online application, no sponsor licence register to check an employer against, and decisions are made by your local authority. Processing times and document expectations vary noticeably between cities, which is why securing the appointment matters as much as the paperwork itself.