In reply to Raymondo:
Like Sir Pilade described, there is public transport all the way to Pont Valsavaranche, but on the last section, there are just about 2-3 buses per day. I was there in 2017. Hitchhiked from Villeneuve, got lucky. My friend, who arrived a bit later wasn't so lucky, had to take a taxi, costed him 100EUR Aosta-Pont valsavaranche. Probably more convenient and even cheaper than renting a car.
If you arrive to Milan around 9 in the morning, reaching Chabod/VE hut by early evening is realistic. Otherwise you could spend a night in Rifugio Tetras Lyre, a bit further up from Pont, on the way to Chabod/VE huts, dormitory beds are cheap, foog is great and bathrooms are decent as well, more like a hotel. Or have to check car rental prices, if it's 3 of you maybe it's not much more expensive than pt, and if you drive all the way from Milan, you save a LOT of time (with the train to Aosta there are 3-4 transfers).
I was on GP in august, crevasses are a concern on both routes. (We went up on the VE one and descended on the other) On the VE route there was a steep (30-35degs) section of dry glacier, wouldn't recommend it to someone without solid ice axe/crampon skills.
The summit scramble section can be very crowded, I recommend you start as early as you can. If you leave the hut at 4am and you're in good shape, you might be the first...