I use a browser at home, but I don't use the heaviest web sites. There are several options for my hourly weather update, some are worse than others (sadly I haven't found any that are light weight - I just need to know if it would be a thunderstorm when I ride my bike home from work thus meaning I shouldn't ride in now)

Yr.no [1] is free, and available in English. Thanks to Norway. Apps available as well.

https://en.wikipedia.org/wiki/Yr.no

Try Quickweather (with OpenMeteo) if you're on Android. I love it.

https://f-droid.org/en/packages/com.ominous.quickweather/

I'm giving up on weather apps bullshit at this point, and am currently (literally this moment) making myself a Tasker script to feed hourly weather predictions into a calendar so I can see it displayed inline with events on my calendar and most importantly, my watch[0] - i.e. in context it actually matters.

--

[0] - Having https://sectograph.com/ as a watch face is 80%+ of value of having a modern smartwatch to me. Otherwise, I wouldn't bother. I really miss Pebble.