The type of visa required:
Tier 4 (General) – Students over the age of 18.
Visa issuing process: First obtain a CAS code (Confirmation of Acceptance of Studies) from the educational institution. Then contact the British Consulate in your country with the necessary forms, pay a fee and prepare bank statements that show the financial ability of the applicant or of his parents.
Working while studying: The UK student visa allows up to 20 hours of work per week during the semester and unlimited working time during the holidays.
Partners: If the curriculum is longer than a year, the partners’ visa allows spouses to enter the country and work. Spouses receive a Tier 4 Dependent Partner visa. This visa allows spouses to work full time, but they cannot study during this time. To get a visa for a spouse, you will have to prove partnership household of two or more years (marriage certificate, joint accounts, joint contracts and other documents). Spouses have to prove they have the financial ability to support themselves.
Extension of Stay: In principle, the visa allows to apply for an extension for spending a year working after graduation. Due to many changes in this policy, you should get an update closer to the time from the British consulate.
Further Reading: https://www.gov.uk/tier-4-general-visa/overview