The subcategory of Skilled Worker visa, called the Health and Care Visa allows eligible applicants to apply with an exemption from paying the Immigration Health Surcharge, and they also benefit from lower visa application fees.
An up to 3 year visa costs £232 per person
An up to 5 year visa costs £464 per person
The sponsor is responsible for paying fees associated with the Certificate of Sponsorship:-
The Certificate of Sponsorship costs £199
The Immigration Skills charge (payable up-front) £364 per year for small sponsors (£1,000 per year for large sponsors).
The application process is exactly the same as for other skilled worker application.