This may be a rediculous question, but does water contain ions? Straight H2O. No solutes.?

The question is quite true Water will ionise to form 1 H+ and 1 OH- ion, from a molecule of H2O. In neutral water the are 10^-7 mol of ions of each type in 1 litre of water. You will more correctly see the H+ ion written as H3O+ ion. As you will gather from this the ionisation of water is not very high.