As doping is by definition is a kind of "impurity" effect the only way to test this hypothesis is - on the one hand - to increse the purity of your sample or to add consciously dopants - on the other hand - and look at conductivity changes.

If you wish to measure the conductivity of a conducting polymer, you can use a monolithic micro-four-point probe with AFM observation. If the fixed linear probe spacing is an issue for you, microscopic 12-point probes have also been commercialised and might suit you better. Another method would be to use the microscopic-four-point probe with a scanning tunnelling microscope. This will enable you to obtain atomic resolution for your conductance measurements.

I am not sure I fully understand your question:

(1)

" Is there any way to test or verify that the polymer is intrinsically conductive? " sure, you need to measure conductivity and make sure you do not have ionic, but electronic conductivity.

- I disagree with Muqsit Minhaj Pirzada regarding "atomic resolution for conductance measurement", as conductivity is not a phenomenon happening on atomic scale, but depending upon whether your conductive polymer's conductivity is more that of an insulator or more that of a true metal, you will either have only hopping (tunneling) conductance mechanism or even metallic electron flow (coupled with hopping)

(or is there any way to test) " there is no any doping effects? " (I rewrote your 2nd part of the question somehow and hope I understood it correctly). See part 2 of my answer for this question.

(2)