Go
Go Board Game
noun
The game of go is one where you surround the enemy with your go pieces. So, adding this to the name of go makes sense, and just makes this the go board game.
いご
This is a jukugo word that uses the on'yomi readings of the kanji. You should be able to read this on your own.
彼は囲碁トーナメントの決勝に進みました。
He advanced to the finals of the Go tournament.