Gradient flow method provides a practical framework
for implementing Renormalization Group (RG) transformations on the lattice, commonly referred to as the
Gradient Flow Renormalization Group (GFRG).
In this work, we investigate the RG flow of the two-dimensional scalar $\phi^4$ theory
in the vicinity of criticality. To address the problem of critical slowing down
near the critical point, we employ Conditional Normalizing Flows (CNFs) to
efficiently generate field configurations in the critical region. This
combination of GFRG and CNFs enables a controlled non-perturbative study of
critical behaviour and fixed-point structure.