Welcome to the forum.
Yes, it's a Carcano
NO it does NOT use 6.5x55. That would be for a Swedish Mauser.
Assuming it is still in the original chambering, it takes 6.5 x 52 Carcano
ammo. It also uses a CLIP---a device which holds the ammo.
It will fire without the clip, but it will be a single shot, not a repeater.
Several manufacturers load 6.5 Carcano, not sure if there is any cheap
mil-surp in that caliber. Been a long time since I had a Carcano.
Someone will be along shortly with the particulars of model etc.