You'll pay a "small surcharge" to ride with your furry friend, though. You'll see the fee on your receipt and Uber'll add it to the upfront price if you choose that option.
It could help both riders and drivers avoid any unwanted surprises. It might give you peace of mind that a driver is happy to have a pet in their car and won't cancel as soon as they see your dog or cat (or another animal). Drivers can opt out of Uber Pet if they'd rather not ferry them around, but those who don't mind doing so will get a cut of that surcharge.
It's worth noting this doesn't bring about any changes to Uber's service animal policy. Riders with service animals won't be expected or required to select Uber Pet or pay the surcharge.