That work laptop won't know anything about what you do on your own PC or laptop that is connected to the same WiFi. Just as your PC or laptop doesn't know anything about what your wife and children (assuming you have them, but you'll get the picture, I assume) do via WiFi on their phone or tablet.
But it's not a good idea to visit porn sites or do illegal downloads or so on your work laptop. The company IT staff might see that, even if you do it at home while connected to the office.
Hi,
this is a dumb question from a not at all savvy computer guy, so my apologies...
I was given a work laptop which can simulate my office PC by simply logging onto home WiFi.
Although i keep my personal browsing and work browsing separate....would in any way shape or form my personal browsing habits become visible on work laptop once paired to my personal WiFi? ....

Chowhound
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