Hi im dr.hema physiotherapist.
Yes
weight training helps to gain muscles. Proper strength training does not stunt.
Keep the weight light with high reps. Don't take the chances of damaging growth plates by lifting too heavy. Form must be achieved before any strength training routine.
At this age strength training is good than lifting.
here is a difference between “lifting weights” and “strength training.(self resistance)” I strongly prefer to use the term strength training, weekly 4 times.
A good trainer helps you for proper technique, safety, and monitored at all times.
In such case you can build muscle strength using:
Free weights(light weight with more repetition)
Weight machines
Resistance bands.
Be active join sports team.
Hope this helps you to take decision.
In doubt do reply.