The trail from Courmayeur up to Rifugio Bertone, Rifugio Bonatti and then to the end of the Val Ferret was in perfect conditions. All the snow is gone and the bridges are into place. There were a few places where the trail looked rebuilt after the melting of the snow. It is probably one of the nicest and runnable trails in the Mont Blanc region.
There is a free shuttle bus (the green line) between Courmayeur main bus station and Val Ferret that goes every half an hour, between 7:30 and 18:30-19. You can find the full timetable on the operator’s website and in this PDF.