NYC is at 2716 cases per 100k and 281 deaths per 100k: https://www.cdc.gov/covid-data-tracker/#cases
States with aggressive reopening policies like Florida/Louisana/Arizona etc had spikes recently but are also coming back down. They are sitting at around 2-3k cases per 100k (deaths will lag).
Even if the reason why those states "peaked" is because of herd immunity, it seems like it still requires at least 3k cases per 100k. That would translate to 300k cases for a population of 10 million but Sweden is only at 80k right now.
I highly doubt they have herd immunity.