Yes! A Stake gift entitles the recipient to real shares of a US publicly listed stock or ETF.
The recipient will receive either whole shares or fractional shares, depending on the gift value and the share price at the time the order is placed. For example, if you receive a gift of US$50 of Facebook, you would receive approximately 0.39 FB shares (based on FB share price of US$128).
Once the recipient owns the shares, they can track their performance and follow their portfolio on Stake. They can buy more shares or sell them.