When an organization sell new stocks to the investing public for the first time this is known as Initial Public Offering (IPO), this is mostly done through an investment bank or finance syndicate of securities dealers.

When an organization offers new stocks to the public, stocks that has not been sold before, this is known as primary issue stock.

In a situation whereby the organization has already raised an IPO and want to raise more funds by offering more shares, these shares will be categorized as Non IPO shares.
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When a company which is privately decided to increase wealth by presenting shares of stock or debt securities publically for the first time, it is called an initial public offering (IPO), whose detail description you can read here at Preipopros website. Going public means now any individual or groups can now gets the company share and earns the profit.