I am interested in the difference in general profile pattern and not in fingerprint stretching frequencies. What change in the profile can be expected in the polymeric samples against monomer materials, like intensity or width etc?
One of the changes that you observe is the reduction in double bond peak with increasing degree of polymerization when vinyl group based monomers are used.
Most vibrational modes are localized and care little about whether you are in a monomer or a polymer. The exceptions include the group frequencies corresponding to things that are removed or added during the polymerization process. There are extensive articles on this issue for polypeptides; the new modes are the amide modes. If you can get down to 0 - 10 cm^{-1} (I am here thinking of Raman, not IR) there might in the solid be substantial changes in the modes corresponding in the monomer to whole-molecule libration.
Infrared spectroscopy is a useful tool to control the majority of chemical reactions. In the case of the polymerization is possible to observe some structural differences between the monomer and the polymer using IR . For example in the case of vinyl polymers, sone of remarkable changes are the reduction in intensity of the double bond as a result of the occurrence of polymerization (agreeing with @Garima Agrawal). In general, removal or addition of certain groups can significantly modify the intensity and the frequency of vibration in the IR.