Ignore weight, think about inches. Honestly, your weight is less relevant than your waist size (from an aesthetic point of view), and your being fit trumps absolute pounds/kilos.
If you are asking "will I get larger and need fat people clothes" by weightlifting? The answer is no. But if you do it seriously you may gain weight while continuing to slim down. Muscle is more dense than fat, but increased weight doesn't necessarily make you larger or more fat.