No, nor do you have to "empty your mind." This is a myth. There are moments of inner quiet, but thinking is a major part of meditation. You ride thoughts like surfers ride waves. The more you accept all thoughts, the more inner repose you will get.
Because the brain does a lot of sorting and housecleaning during meditation, it is often tremendously busy. The more your mind wanders during meditation, the more able it is to pay attention after meditation, because it has done its tuning-up.
Also, since you are relaxed during meditation, you learn to stay relaxed while thinking of things in your life that used to make you tense. You should expect your mind to be noisy part of the time in meditation. You won’t care very much, though, because you will still be very relaxed. After meditation is when your mind will be quieter. And because your mind is quieter, those little thoughts you need to know can catch up with you. Your intuition, your gut feelings, your strategic overview, your hunches will emerge with greater clarity.
Take your time to get used to meditation gradually. Doing even the simplest of techniques, the body goes into a deep state of rest. According to 30 years of research at Harvard Medical School, during meditation the body tends to enter a state of restfulness much deeper than deep sleep. During meditation this often happens in about 5 minutes, whereas during sleep the body gradually gets more and more restful over the course of hours.