Perhaps the most important property people mention when comparing iron to bronze is hardness. Hardened steel will greatly outperform bronze. Iron will not.
Bronze with 8% tin will have a hardness of about 90HV annealed, and about 200HV work-hardened. Bronze with 20% tin (as used, e.g., in Chinese bronze blade) will be about 200HV as-cast (don't have a value for work-hardened - IIRC these high-tin bronzes can't be cold forged).
Wrought iron, if there are no alloying elements increasing work-hardenability, will be about 80HV annealed and 200HV work-hardened. Greenland telluric iron tools/weapons are usually from 190HV to 230HV. Greenland meteoric iron will reach 200HV to 340HV.
As far as other properties go,
iron is stiffer, and less dense, and an iron blade can be about 2/3 the weight for the same stiffness (assuming only the thickness is changed)
bronze is more corrosion resistant
bronze is much easier to cast (much lower melting point)