Hi Steve,
It might surprise you, but certainly in my limited real-world flying experience, and from other people's experiences, I've found that landing, especially in light aircraft, is not really that difficult at all. Certainly lining up and getting the descent right is really quite simple as long as there's not a horrendous crosswind or something, although it does depend on which airfield you're flying from. If you fly from a grass airstrip, it will be a lot more difficult landing there than if you fly at a large airfield with a concrete/asphalt runway.
Of course, the full technique of landing, especially the final parts where you're reducing power, flaring (but not too much, otherwise you'll float), kicking off any crab that you may have because of a crosswind, making sure your descent rate is low enough so as not to give everyone a headache, judging your height etc, all within 3 or 4 seconds, takes a lot of getting used to, and even experienced light aircraft pilots don't get it right every time.
Personally speaking, if I remember rightly, I did my first landing on my 3rd lesson, with my insructor assisting. My first few sessions were when I was very young, and were spaced out a long way, so I probably didn't do my first fully unassisted landing until just before I started proper training about 2 years ago. Of course, my landings at the moment are still very hit-and-miss (if you'll excuse the pun
) with only just over 40 hours' experience, but I tend to be able to pull off fairly smooth ones now. Landing a light aircraft is very much about co-ordination and balance.
It's surprising how simple it is to at least get the basics - normal light training aircraft are built to be hurt and thrown around quite a lot, so they can take hard landings very well (especially the robust Pipers), and it's quite difficult to scrape the tail or hit a wing or anything like that. Remember, for your first load of landings, your instructor will be very alert, and he'll be able to tell if anything's going wrong at an early stage, and take over the aircraft.
I wouldn't be surprised, if the conditions are right and you've handled the aircraft well for the rest of the flight, if your instructor lets you control the aircraft during the landing
Have fun!