How is Comet SWAN C/2020 F8 doing? Will it become easily visible by eye?
The SWAN C/2020 F8 comet is passing near Earth, but its magnitude will be around 5. This means that you need to have a rather dark sky and good enough eyes to be able to see it.

From the comet observer's database



In addition to this, the comet will be very low on the horizon during the night. Here is its track from Wikipedia



Early June (when it will be rather bright), SWAN will pass near Capella which is roughly 15-20° above the North-West horizon at 22:30. This means that you need to have a pretty clear horizon to see it.



TL;DR : It will be visible by the naked eye if you have a clear horizon and a dark sky. So it won't become easily visible by eye at any point in time during this pass near the Sun.