No matter how far I walk, I can't shake the feeling that I'm just going in circles in the same place.
Literal
Go-[even though-ども] go-[even though-ども], as-expected same place [object-を] around-and-around circling feeling [subject-が] do cannot-help.
行けども行けども 'no matter how far I go' — the classical concessive ~ども doubled for emphasis. グルグル is a 擬態語 for going round and round in circles. 気がしてならない 'can't help feeling' — ~てならない expresses an irresistible sensation. The whole sentence captures the despair of being lost.