PayPal Holdings, Inc. is a public company while Bitcoin Network is considered by some to be the first decentralized autonomous organization.

PayPal Holdings, Inc. is an American company operating a worldwide online payments system that supports online money transfers and serves as an electronic alternative to traditional paper methods like checks and money orders.

https://en.wikipedia.org/wiki/PayPal

The bitcoin network is a peer-to-peer payment network that operates on a cryptographic protocol.

https://en.wikipedia.org/wiki/Bitcoin_network

A simple merge of images from wikipedia.org

Ownership structure

PayPal Holdings, Inc.'s ownership is facilitated by PayPal shares.	Bitcoin Network's ownership is facilitated by bitcoins.
PayPal shares are owned by its founders, employees and investors.	Bitcoins are owned by bitcoin miners, investors and those who accept bitcoin payments.
The creation of new PayPal shares is restricted by a set of rules agreed upon by the current shareholders.	The creation of new bitcoins is restricted by a set of rules agreed upon by the current bitcoin holders.

Business model

PayPal Holdings, Inc.'s money is a digital representation of fiat currencies such as USD and EURO.	Bitcoins act as money within the Bitcoin Network.
PayPal Holdings, Inc. facilitates the sending of fiat currencies between people.	Bitcoin Network also facilitates the sending of bitcoins between people.
PayPal Holdings, Inc. charges fees for its services.	Bitcoin Network also charges fees for its services.
The fees generate revenues and profits for PayPal Holdings, Inc.	The fees generate revenues and profits for bitcoin miners who operate the computers that host the Bitcoin Network.
The more people use the services of PayPal Holdings, Inc., the more the revenues and profits, and as such the value of PayPal shares increases.	The more people use the services of Bitcoin Network, the more the demand for bitcoins, and as such the value of bitcoins increases.