Nobody can say what every computer will do, but there are some reasonable assumptions.
When you access data that is not in the cache, you want it to be in the cache afterwards. So the CPU will read the data from memory, and move it to the cache. That's one half of the job.
There is some part of the CPU that needs the data, and we want to get the data to that part of the CPU as fast and as cheap as possible. There is already a mechanism in place to provide the data if it is in the cache. So the CPU could just move the data to the cache, then use the existing mechanism. That's cheap and easy.
Or the CPU can move data from memory to the place where it is needed either simultaneously with the cache, or even before the data is moved to the cache. That has the advantage that the data may appear a little bit faster where it is needed. It has the disadvantage that now the two situations (in cache, not in cache) need to be handled by different hardware. That is likely more complicated and more expensive.
Which one is chosen depends on how much quicker the more complicated method is, how much it costs more, and how much the cost is compared to other possible improvements.