check to see if (something is true)

It's a little bit repetitive, but English speakers sometimes use the phrase "check to see". It just means to check something and find out what the situation is. Here are some examples:

Before you pull out, check in your rear view mirror to see if there's anyone behind the car.

I'll check to see if they have one of these at the hardware store around the corner.

pull out (of a driveway or parking spot)

When you park a car, you "pull in" to the parking space or driveway. When you're leaving the parking space, you "pull out" of it.

You can use this phrase to talk about cars entering a road from some other road, parking lot, or driveway. For example:

Can you believe that guy pulling out in front of me like that? What the hell!

a rear view mirror

There's a mirror in the middle of a car which allows the driver to see behind the car. This is called the "rear view mirror".

Cars also have mirrors that stick out from the side, which are not called "rear view mirrors". They're called "side mirrors".