Your profit comes when you sell the stock at a higher price than you bought it.
I don't want to have to worry about storing and securing thousands of dollars of gold.
If that's the case, then you may very well have $0 in taxable income until you sell your shares -- at which point you'll report a capital gain or loss on your U.S. tax return. You don't owe any taxes on an investment unless one of two things happens: (1) it produces income for you (in the form of a dividend that's paid directly to you or a dividend that is reported and then re-invested automatically in the asset); or (2) you sell the asset and realize a gain on your sale.