lastlid,
As with most things it's not quite a simple as it could be.
There's not really any accurate direct conversion of scores between the various tests.
IELTS has 2 different versions, General (easier) and the Academic (more difficult) .
For nursing the IELTS requirement states:-
You must complete the academic version of the IELTS test and achieve:
At least 7.0 in the listening and reading sections
At least 7.0 in the writing and speaking sections
At least 7.0 (out of a possible 9) overall
We will not accept applicants who score lower than this standard.
A TOEIC minimum score of 780 would be approximately equivalent to IELTS score 7
It may not be perfect but at least gives an idea.