There are any number of ways of giving directions, but if I were in this situation, I'd say something like:
Keep going straight on Street 1 until you get to Street 3.
Turn left on Street 3.
Street 3 makes a sharp right turn and becomes Street 4.
Take the first left from Street 4 onto Street 5; the school will be on your right.
I might also give directions using cardinal directions. If the person I was giving directions to seemed to understand them clearly, I would probably shorten the directions a bit as well:
Head south on Street 1, then turn east on Street 3.
Take Street 3 until it runs into Street 4, headed south.
Turn east onto Street 5; the school is on the south side of the road.
Note that "head" is a verb here, it means to travel in the direction that follows. Also when giving directions, we might say "take a {direction or street}" instead of "turn {direction} or go {on a street}."
It never really occurred to me before, but there is a whole set of idioms and slang that go along with direction-giving. I have to think it's going to vary from region to region, so for your information, I'm from the US Midwest.