I am having a birthday party next month, so please come too, Kanae.
What day next month is the day of the fireworks display?
Next month I’ll start scuba diving to find the glasses I lost at sea today.
The next month is the next month! It isn't this month or the month before, it's the next one!
This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well.