As a newish PPL student much of what you are doing will be new to you, and you are doing it in a new situation (up in t'air). So you are unlikely to be comfortable with it all straight away.
A good instructor will keep feeding you new tasks as soon as they feel you can take the task on. This sometimes leads to a feeling that not enough consolidation has taken place. So you are unlikely to get the chance to feel comfortable for some time.
So yes, it is all perfectly normal. In some cases the nervousness may not leave you until you have passed the Skill Test and have been flying on your own for a while - it may be that only then will your truly believe that you can do the drills, and be comforatble doing them on your own.
A bit of nervousness, even on the skill test will tend to sharpen you up. If it goes beyond a bit of nerves, talk to your instructor.