The Torah portion is Miqeitz, Genesis 41:1-44:17. In synagogues using the Triennial system, 5782 is year 3 and the Torah reading is Genesis 43:16-44:17.
Joseph interprets Pharoah's dreams, predicts famine and provides the means to prepare, becomes a powerful man and marries. He is reunited with his brothers, who don't recognize him, and he tricks them.There is a special seventh aliyah (7th piece of the Torah reading) for Rosh Chodesh Shabbat: Numbers 28:9-15. This portion lays out the offerings made on Rosh Chodesh (the beginning of the new month) when it occurs on a Shabbat.
There is a special maftir portion (the final piece of the Torah reading) for Chanukah Day 6: Numbers 7:42-47. This portion lists the gifts given on the sixth day of another dedication: the Mishkan, the portable sanctuary in the wilderness.
The haftarah is for Chanukah First Shabbat, Zechariah 2:14-4:7. Toward the end, this passage speaks of a menorah of gold with seven pipes, like the menorah of the Temple, connecting this passage to Chanukah which celebrates that menorah miraculously staying lit on insufficient oil while new lamp oil was prepared.