Ignoramus31975 wrote:

Could you tell me, what is the right way of
doing that, what matters most, concrete thickness, gravel, etc?

There's no reason why a standard 2x4 form won't work for a residential driveway.
Don't be like the klutz who poured the back patio in one of my houses 8" thick.
It took me days to jackhammer that out when I went to build a deck and I ended
up building around part of it.

Everything matters. You need to start with a good compressed base made with the
right material to allow drainage, prevent frost heave and not settle. You need
to have a proper mix. That means the right agregate material and the right
amount of cement. You need the pour done at the right temp and before the mix
goes off. Finially, you need enough "cream" with the finishing so you don't get
spalling.

Even then, I probably missed a few things...