To be born; to come into the world. Also used figuratively for ideas or things that come up. The particle くる adds a sense of movement toward the speaker or emergence over time.
赤ちゃんが来週生まれてくる予定です。
The baby is expected to be born next week.
新しいアイデアが次々と生まれてくる。
New ideas keep coming up.
その町でまた小さな店が生まれてくるだろう。
Small shops will probably spring up in that town again.