Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 6g^2 & 3g & 7 \\ \color{blue}{ + } & 6g^2 & 9g & 4 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 6g^2 & 3g & 7 \\ \color{blue}{ + } & 6g^2 & 9g & 4 \\ \hline & 12g^2 & 12g & 11 \end{array} $$