Ga71 NQR, magnetization and specific-heat measurements have been performed on polycrystalline Ge-doped FeGa3 samples. A crossover from an insulator to a correlated local moment metal in the low-doping regime and the evolution of itinerant ferromagnet upon further doping is found. For the nearly critical concentration at the threshold of ferromagnetic order, xC=0.15, (1/T1T)71 exhibits a pronounced T-4/3 power law over two orders of magnitude in temperature, which indicates three-dimensional quantum critical ferromagnetic fluctuations. Furthermore, for the ordered x=0.2 sample (TC≈6 K), (1/T1T)71 could be fitted well in the frame of Moriya's self-consistent renormalization theory for weakly ferromagnetic systems with 1/T1T∼$\chi$. In contrast to this, the low-doping regime nicely displays local moment behavior where 1/T1T∼$\chi$2 is valid. For T→0, the Sommerfeld ratio $\gamma$=(C/T) is enhanced (70mJ/moleK2 for x=0.1), which indicates the formation of heavy 3d electrons.