Assuming R0 = 2.5, you need (1-1/R0) = 60% of the population to be immune for herd immunity. That would be 600,000 in Stockholm, 1.4 million people in the metropolitan area, 6 million for Sweden.
Assuming the same infection fatality rate 0.002 as Finnish national health organization estimates: 1,200 deaths in Stockholm, 2,800 in the metropolitan area, 12,000 in Sweden. Currently there are just 1,400 total covid-19 deaths in Sweden.