Yes, laser eye surgery can improve your vision. If your lazy eye is corrected to driving standard or above, you can try laser eye surgery. And this surgery only treat the lazy eyes. Since your left eyes are perfect, you only have treat your right eyes with laser eye surgery.
Laser eye surgery may help people with lazy eyes see better, but it can't be used to cure your lazy eyes. Because Laser eye surgery can only correct your vision to the state that glasses or contacts can do. And glasses or contacts cannot correct lazy eye to 20/20 vision. You'd better talk with your doctor what your problem is and the doctor will find out the way to treat your lazy eye.