Yes, you can enter the 1099-MISC for the stock reward as Other Income as outlined by @ColeenD3 above.
It is normal that your purchase of an investment did not appear on your 1099. It is not taxable and therefore does not need to be reported on a 1099 or on your tax return. It is only taxable income when you sell the investment for a gain or a loss or the investment gives you interest or dividends.
