I always go to the NOAA site first. I believe NOAA is where all the other weather sites get their base information, so why not go to the source? You can use it for anywhere--just move the map to the spot you want, and tap the map. It responds with the weather for that location.

The NOAA links are on the Mt Whitney Weather page for the Whitney summit, Whitney Portal and Lone Pine.

Here's the link for the summit weather