We report the experimental results on anisotropy of the normal state resistivity, transition temperature and magnetic transition in single crystal GdBa2Cu3O7-δ. We find that both ρ∥ and ρ⊥ are fitted very well to the Anderson-Zou relationship ρ = A/T + BT, except near Tc where fluctuation enhanced conductance becomes prominent. The striking difference in A, B of two directions suggests that charge transport proceeds by different mechanisms in the two directions, that the system exhibit remarkable two-dimensional character in the normal stete. The superconductivity in the c direction is weaker than that in ab plane: Tce⊥ is 2K lower than Tce∥. a. c. magnetic shielding effect when H∥ab plane is only 76% of that as H⊥ab plane.