Set a timer for five minutes, sit down in a comfortable position (usually better than lying down, to keep yourself awake). Count your breaths until 10 and then count backwards down again. Repeat until the timer goes off, and bam! Meditation accomplished.
Don't worry if your mind drifts off, that's not a sign of failure. Just keep doing the task at hand (counting).
Use headphones if you need to block out sound. Slow music without lyrics or plain nature sounds usually work better.
Once you have that down, there are about a billion variations and ways to continue, but starting out doesn't have to be more complicated than outlined above.
Usually we wish to measure progress when undertaking any kind of endeavor, especially new ones, but measuring (or even defining) progress when it comes to meditation can be hard sometimes. It may require discipline on your part in order to overcome the perceived lack of feedback, but I assure you that you'll be very glad that you kept at it once you do start to notice what happens.