It is depend on the type of light. UV light is very common employed to intiate and accelerate radical polymerisation, but laser light is rarely apllied in polymerisation process, so does infrared light.
It is totally depends on the monomer and the type of the light it has been exposed. On both manner there is a high chance of increasing polymerization rate since it will effect the Boltzmann distribution of the reactive species which will help them to overcome the activation energy barrier. If there is any absorption of the the light there is a high chance to gain energy from it which will lead to the increasing of the over all energy level of your monomer where it will react in that medium more quickly. In short, you should focus on the interactions between the light (that you are pointing) and your monomer.