Answer
The graph of $g(x)$ is the graph of $f(x)$ moved upwards by 1 unit.
Work Step by Step
Observe:
$f(0)=5^0=1$ which gives the point: $(0,1) $
$g(0)=5^0+1=2$ which gives the point: $(0,2)$
$f(1)=5^1=5$ which gives the point: $(1,5)$
$g(1)=5^1+1=6$ which gives the point: $(1,6)$
$f(2)=5^2=25$ which gives the point: $(2,25)$
$g(2)=5^2+1=26$ which gives the point: $(2,26)$