The eligibility for government jobs in the UK typically depends on various factors, including your immigration status, the specific job requirements, and any necessary professional qualifications. Completing a one-year master's program in microbiology in the UK may enhance your qualifications, but it doesn't guarantee automatic eligibility for government jobs. To work for the UK government, you may need to meet additional criteria, such as residency, work permits, and specific skill or experience requirements. It's advisable to research the specific job and government department's requirements for more accurate information.