The good news: healthcare professions sit at the top of Australia's skilled occupation lists, so you have more options than almost any other career. The typical journey is sponsored temporary visa → permanent residency in ~2 years.
Skills in Demand (subclass 482)
Most common
The workhorse visa, formerly the Temporary Skill Shortage visa. Your hospital or practice sponsors you for up to 4 years. No age limit for doctors. Includes your partner and children, with full work rights for your partner. After 2 years you can usually transition to permanent residency.
Permanent visa via employer nomination. The most common route for doctors: work 2 years on a 482 with the same employer, then they nominate you through the Temporary Residence Transition stream — no points test.
Points-tested permanent visa with no employer required. Competitive, but doctors and nurses score well on the points test. Worth considering if you want flexibility over which employer you join.
5-year regional visa, state-nominated or family-sponsored, converting to PR after 3 years. Pairs well with rural hospital jobs, which are also where demand (and pay loadings) are highest.
UK citizens up to age 35 can get a working holiday visa for up to 3 years. Some doctors use it for locum stints or to attend interviews in person — but check work-limitation conditions for your situation.
Year 2–3: employer nominates you for the 186 → permanent residency.
Year 3–4+: citizenship eligibility, if you want it.
Disclaimer: this is general information, not migration advice. Visa rules change frequently — verify everything on the Department of Home Affairs site, and consider a migration agent registered with MARA (the Office of the Migration Agents Registration Authority) for complex cases.