Answer
The graph of $g(x)$ is the graph of $f(x)$ moved upwards by 1 unit.
Work Step by Step
Observe:
$f(0)=3^0=1$ which gives the point: $(0,1)$
$g(0)=3^0+1=2$ which gives the point: $(0,2)$
$f(1)=3^1=3$ which gives the point: $(1,3)$
$g(1)=3^1+1=4$ which gives the point: $(1,4)$
$f(2)=3^2=9$ which gives the point: $(2,9)$
$g(2)=3^2+1=10$ which gives the point: $(2,10)$