Both start in their base forms? Then regardless of who is stronger at their best, Bardock would mop the floor with Frieza, provided he doesn't give Frieza time to transform. Considering how much Bardock hates Frieza I doubt he would give him any time at all.
If they were both at their maximum though? Hard to say. The only power level Bardock was ever clocked at was around 10,000 and that was before his fight with Dodoria, unless I'm mistaken. We would need to know how much Bardock's power increased after he was nearly killed by Dodoria and then Frieza's death ball.
According to the power levels listed here (though some of them conflict with each other) Goku when fighting Frieza had a base power level of 3,000,000 and at Super Saiyan it was 150,000,000. Frieza at 100% power was 120,000,000. Going by that, the Super Saiyan transformation multiplies the user's power level by 50. If we say Bardock needs to at least match Frieza's power level to fight him with a chance of winning, then Bardock's base power level would need to be at least 2,600,000.
Regardless though, this thread should be on the battles board, not general discussion.