The Torah portion is Re'eh, Deuteronomy 11:26-16:17. In synagogues using the Triennial system, 5782 is year 3 and the Torah reading is Deuteronomy 15:1-16:17."See, this day I set before you a blessing and a curse, a blessing if you follow the commandments and a curse if you turn to other gods and follow their ways." Much of it talks about offerings and where and how they must be brought. Speaks of false prophets who entice people to worship other gods. Lays out rules for identifying kosher meat, fish and birds and not eating meat with dairy. Lays out rules of sh'mittah (remission of debts and freeing of slaves in the 7th year). Ends with a mention of the three Festivals: Passover, Shavu'ot and Sukkot.
There is a special maftir portion (the final 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.
The haftarah is for Rosh Chodesh, Isaiah 66:1-24. This portion speaks of the many sins committed by the People in Isaiah's time and the consequences, but promises that some will prosper and endure.