That part you've pointed to seems like a flat flex cable, not a flat flex connector.
In any case, what you need to know are the number of connectors and the pitch. Is that 20 conductors? Are the centres of those conductors 1/2mm apart (or are they 1.27mm apart, or 0.625mm, or even 1mm (all are possible)
Let's assume there are 20 conductors and they're placed on 0.5mm centres.
So you'd go
here and select the various options.
When you do that and hit apply filters, you get a list like
this
Note that there are single and double sided connectors here, I assume you want single sided. (and then you may need to consider whether you want top or bottom connections).
It's also worth putting a quantity of 1 in and applying that so you don't look at prices for quantities of thousands... (you get
this)
Now let's look at the top one:
Here
You will now notice a few things:
1) it's surface mount (there are no pins to place through holes)
2) the spacing between the pins doesn't match a breadboard.
Either of those reasons means you need to make an adapter board and the former means you need to be able to do soldering of surface mount components -- and a connector is not the easiest thing to do.