You are 14, you are too young to be worrying about your weight. Don't go taking weight gaining supplements or weight training like these people are telling you too. Your body is going through a lot of changes, you won't really know what is going to happen, you might hit a growth spurt and become 5'9, which does happen, or your metabolism may decrease later on, who knows =/. You are lightweight as you said, but you don't want to mess with heavy weight training just yet, you may injure your growth plates. If you must do weights, then I suggest finding somebody older then yourself who is experienced in weight training and makes sure you have the proper form and technique. Don't go heavy on the weights like a lot of junior high/high school idiots who obviously aren't that strong but decides to show off to their friends or a girl near by, by attempting to do 45 plates on bench press when you can't -_-. Don't do much cardiovascular/long lasting physical activities too, if you decide to weight train. The best thing I would just suggest for you is to eat more meals. Eat 5 times instead of your usual 3, but don't bloat yourself at each meal. Just eat enough to last you a few hours, and eat again then. It will cause your metabolism to increase (which I know you don't want), but if you eat significantly more amount during those meals, the slightly increased metabolism won't compare with the calorie intake and you can gain weight thusly. So just make sure you eat healthily and get your nutritional needs for now. When you are 16-18, and you are still skinny (chances are, you will still be skinny), and you have enough experience knowing how things are done in the gym, then start going after the weight lifting.
On a side note, you could listen to what roxy stated about having your thyroid level tested. Chances are, your thyroid level may be perfectly fine, but just in case. The Thyroid gland excretes hormones that have to do with metabolism, a hypoactive or hyperactive (in your case it would be hyperactive), could lead to an increase in metabolism. Don't get your hopes up though, it isn't as if every other kid on the block may have thyroid level imbalances. You will probably have to gain weight the hard way =/