Do I need to find a visa sponsor to stay and work in the UK after my studies for a Master's/PhD?

No, you do not need to find a visa sponsor to stay and work in the UK after your studies. The Graduate visa allows you to remain in the UK and work at any skill level or start your own business without requiring an employer sponsor or job offer. To be eligible, you must apply from within the UK on a valid Student visa and have successfully completed an eligible UK degree. The length of the Graduate visa depends on your qualification - typically 2 years for a master's degree, or 3 years if you have a PhD. If you wish to stay longer after your Graduate visa, you can explore switching to other visa routes like the Skilled Worker visa if you meet the requirements.