Something about the idea of Molarity is confusing me
Correct me if I'm wrong, but don't you need at least 2 solutes to make a solution?


You are, unfortunately, incorrect. In wet chemistry, you need just a solvent$^\dagger$ and at least one solute to make a solution.  While this does mean that you need at least two constituents to make up a solution, you do not need at least two solutes.


  ... is it saying that the ONLY chemical in the bottle is this $\ce{H2SO4}$?


It depends on your definition of a chemical:


If you consider water to be a chemical, then no: there are two chemicals in the bottle$^\ddagger$, $\ce{H2O}$ and $\ce{H2SO4}$.
If you are not considering water to be a chemical, then yes: the only chemical in the bottle$^\ddagger$ is $\ce{H2SO4}$.


$^\dagger$ If not specified, the solvent is almost always water.

$^\ddagger$ Except for small amounts of inevitable impurities.