Yes it will work fine with no impact.
You already have a switch in your router they just call them lan ports. Adding a switch just adds more ports. Its best to think of a switch a box that connects all the cable together.
Technically I can explain things like store and forward delays and serialization delays but unless you are designing data centers it makes no difference. This gets into tiny delays where you start factoring things like the speed of light. Even the cheapest gig switches you can find are many times faster than all the equipment people hook to them.
Ok, just to make sure I can run my new computer off the thing I linked? Also how does it hook up to my router?