Answer
False.
Work Step by Step
Flagellum are made of doublet microtubules in a 9+2 configuration. Axonemal dynein, a minus end directed motor protein, is permanently attached at its tail to one doublet microtubule with its two heads interacting with the adjacent doublet microtubule. This would usually cause microtubule sliding, but due to the protein nexin linking the doublet microtubules together, it instead causes bending. GTP is not hydrolyzed by tubulin as stated in the question, but instead dynein hydrolyses ATP to provide the energy needed for bending to occur.
