The way it works in France is there's two chambers of parliament, the senate and the Assemblée nationale (that I translate to "the parliament"). Unless the law changes something in the constitution, the senate is just there to advise the parliament. If they'd voted no, it wouldn't have mattered.
It is up to the parliament to vote laws into effect
But the neolib right, the far-right and the conservative right compose >60% of the parliament so there's no need to hold your horses too much. For the retirement law, they didn't have the support of the far-right. Since I don't think the far-right is going to suddenly find themselves privacy lovers I think we can safely assume it'll go through