The pressure gradient is toward the center of the low. That's pretty much what a low pressure area means.
On a flat and non-rotating Earth, that pressure gradient would drive air to move straight toward the center of the low. But Earth is both spherical and rotating...
Imagine a bit of air directly to the north of the center of the low in the northern hemisphere. (The air is in Chicago, and the air is somewhat south of that) Because Earth is rotating, that air is already moving around Earth's axis eastward at the velocity that'll take it around that axis every 24 hours. Now the pressure moves it south. But it keeps that same eastward velocity. As it moves south, because Earth is round, it's now farther from the axis: It's not moving east fast enough to get all the way around the axis in 24 hours. Put another way, the air to the south is moving east faster, and the air from Chicago falls behind: It moves west, or turns to the right.
Note that a bit of air that has to move north to get to the low has the opposite problem: It's moving closer to the axis, so it's going too fast. It'll pull out in front of the air already there and move east. But that's again a right turn, because it's moving north.
How about some air west of the low? To catch up to the center of the low, it has to go faster than the surrounding air. It's moving faster around the axis. The resulting centrifugal force is directly away from the axis, not away from the center of Earth because Earth is round. That means it has a component to the south, to the right, and pushes the air in that direction.
Friction has no part in causing any of this.