If your car drifts to one side and you have to turn the steering wheel away from the center position to drive straight, that is a good indication that your wheels are out of alignment. Perhaps it is the result of hitting a deep pothole or scoring a direct hit on a curb while parking.
Before you head off to a repair shop to have your wheels aligned it would be a good idea to check your tire pressure. Under-inflated tires can also cause a vehicle to pull to one side, so eliminate that possibility first. You might also want to inspect your tires to see if there is uneven wear, such as the tread being worn off along one edge, another sign of an alignment issue. However, it can be hard to separate normal from excessive wear, so unless you're well trained in "tireology" you shouldn't jump to conclusions.
Vibrations in your wheels are different from alignment problems. Vibrations are probably caused by wheels being out of balance or bent (potholes can do that) or because suspension parts are worn, and getting your wheels aligned won't solve those problems. Some vehicles require only that the front wheels be aligned, but many car-based models require four-wheel alignment. Alignment specifications differ by vehicle, and it isn't as simple as just making sure all four wheels are pointed straight ahead.
Depending on the vehicle, proper alignment involves setting the camber (inward or outward tilt of the wheels when looking head on), caster (wheel tilt front or back looking from the side) and toe-in or toe-out (looking down at the wheels from above). The adjustments are measured in fractions of an inch and require specialized alignment equipment. Wheel alignment isn't usually listed by vehicle manufacturers on the recommended maintenance schedule, so how often it should be done is open-ended. If your vehicle tracks as straight as an arrow, you're wheels likely are properly aligned. Even so, it's a good idea to have your alignment checked annually, such as when you have your tires rotated. You certainly should have it done when you buy new tires so they don't immediately start to wear unevenly.