Wilshire was two lights down on the left, Berkley the first right after that.
"Berkley the first right after that" refers to "(turn to the left, and then ) to the right, there at the first traffic light is Berkley"?
What the text means is: Standing at a point looking down some generic street/road, Wilshire was two traffic lights distant, at right angles to that street/road. Then the next street you would come to after crossing Wilshire was Berkley.
But that doesn't seem to match the map, assuming that this is Wilshire Boulevard and Berkley Street in Santa Monica, CA. Berkley Street runs at right angles to Wilshire Boulevard.
Google "map wilshire boulevard and Berkeley Street".