People dream, you don't know it all the time, but you always dream. One way or another.
It is not unusual, however, that you don't remember your dreams. It is a part of society and, thus this is normal.
This is why you may see, people telling to keep a dream journal. A dream journal is a good idea to keep, i say. It is a journal where you write your hopes on your dreams, your veiws, your dreams, and meanings. This is not needed, but..it is extremely useful. Why? Well it helps you find patterns of your dreans, abd can show you signs.