IIRC the translation of the OT into Greek was done by Jewish scholars in Alexandria Egypt, in the years soon after Alexander’s conquests.
The resulting text is the “Septuagint”, the name being a reference to 70 scholars having contributed.
Anyway thanks to Alexander the Great the Greek language was widespread and well established at the time of Christ.
Aramaic is a sister language to Hebrew and may have developed during the Babylonian exile. So in that fashion a variety of Hebrew was still spoken in Israel at Christ’s time but it isn’t identical to the real thing. But modern Hebrew is apparently remarkably similar to ancient Hebrew.
“So in that fashion a variety of Hebrew was still spoken in Israel at Christ’s time...”
All I can find indicates Hebrew was known and used, primarily in religious matters but still Hebrew. The Septuagint met a need but Jesus taught in the synagogues and shows every sign of being familiar with contemporaneous rabbinical discussions, and many of those would have been in Hebrew.