Yes, Bertolli extra virgin oils are first cold-pressed.
“Cold-pressed” means that only mechanical means were used to press oil from the olive fruits; no heat or chemicals were used in the extraction process.
“First cold-pressed” refers to the olive oil that was extracted from the first cold pressing of the olive fruits. Some other processes send the pressed pulp through higher pressure extraction methods to extract more oil. All good quality extra virgin oils on the market today are first cold-pressed.