Thankfully, "as bright as the sun" is waaaaaaay outside of what a monitor is capable of : SDR is (supposed to) top out at 10^2 cd/m^2, HDR10 at 10^3, Dolby Vision maxes out at 10^4 cd/m^2, but the midday sun is... ~10^9 !
sRGB is quite literally defined as "the average 90s CRT in an office environment", i.e. full-white sRGB on a HDR display should be around 100 nits or so in those reference conditions (i.e. display set to "reasonable" brightness).
Do you have a recent iPhone? Try taking a picture with the sun in it: the white of it will appear white as well, but the phone will display it considerably brighter than the white UI surrounding it.
Just imagine you're using an HDR display, where the brightest white is as bright as the sun.