The M1 Pro is a 6+2 configuration, so it will have a little bit of an edge in core configuration, but Apple claims 18% faster on this generation, which might cancel out that edge a little bit (I'm guessing slightly slower still, but close). The M1 Pro does have a 40% larger GPU, but the M2 is 35% faster (again, taking Apple at face value) so it should again be similar-ish in gpu performance, very slightly slower (135/140 = 96% as fast).
The big difference is still that M1 Pro gets support for much larger memory, and the 14" has a much better port configuration, the 13" is basically still the same old chassis with USB-C and the touch bar, just updated with a newer processor.