I went to Gaylor Lakes after a backpacking trip in June the year after the drought ended. There was no snow near Tioga Pass, just on the peaks around it. However, after I hiked over the ridge from Tioga Pass to the lakes, I found the other side totally covered in snow and the lakes were still mostly frozen, but not enough to walk on them safely. There was only a few inches of snow in most places, but it was enough to use my crampons. If the snow has melted by the time you get there, it could be a giant bog of water, since the area that the trail goes through around the lakes is nearly flat, causing the melted snow to pool until the sun dries it up.
If you want a snow free, dry, warm-up hike, try taking the day hike to the top of Lembert Dome. You can even make a circle out of it and come back from it differently than the way you approached it. There should be no snow and no creeks to cross.