Public Healthcare :
Sweden
Public Healthcare
The Form E111 is no longer valid. You should obtain a European Health Insurance Card (EHIC) before leaving the UK. The EHIC is not a substitute for medical and travel insurance, but entitles you to emergency medical treatment on the same terms as Swedish nationals.
NHS Guide
Foreign & Commonwealth Office - Travel Insurance
For longer term general health care, you will need a födelsesnummer number. You will need to show this the first time you visit a doctor and they in turn will give you a Patientkort. This must then be shown at every visit to the Doctor/Dentist or hospitals.