Answer
focus $(0,2)$, directrix $y=-2$
See graph.
Work Step by Step
Step 1. Given $x^2=8y$, we have $4p=8$ and $p=2$ with the parabola opening upwards and vertex at $(0,0)$.
Step 2. We can find the focus at $(0,2)$ and directrix as $y=-2$
Step 3. We can graph the parabola as shown in the figure.