The crux will be getting permits if you don't have them.
For conditions there is a pretty active Facebook group simply called "Mt. Whitney" with lots of trip reports and condition updates (https://www.facebook.com/groups/30962451768). There's a trip report from Tuesday that the only difficulty is a bit of snow on the switchbacks, they just had microspikes and trekking poles and felt fine. So as long as the weather holds the main trail will be much easier than Avy Gulch on Shasta, just a bit longer in distance (but a bit less vert).