What is the process of turning ionic silver solution into colloidal silver solution?
If you provide a scheme of this mysterious  &quot;colloidal silver generator&quot; would be very interesting, from what I see from googling I see only things like this.

Up to my knowledge this &quot;colloidal silver generator&quot; has no sense. From instructions notes it seems there are two silver bar in a solution of pure water, as you say, this in fact should create a very slow (because there are no electrolytes) electrolysis of water into $O_2$ and $H_2$ but I don't see any reasons for the producing of colloidal silver.
In chemistry laboratory to produce colloidal silver usually you start from a solution of ionic silver $Ag^{+}$ and reduce it to metallic silver $Ag$.
$$\ce{Ag^{+} + e^{-} -&gt; Ag} $$
Caution the following is a reaction not a recipe do not ingest the ultimate product of this reaction!!!
Once time I've made a true colloidal silver with Lee-Meisel method (J.Phys. CHem 1982,86,3391-3395) if you look at the original paper there are many methods however the following (method c) is used most.

(c) $AgNO_3$ ($90 mg$) was dissolved in $500 mL$ of $H_2O$ and brought to boiling. A solution of $1 %$ sodium citrate ($10 mL$) was added. The solution was kept on boiling for cs. 1h.

The solution should be greenish yellow. If you examine the reaction the $AgNO_3$ is the source of $Ag^{+}$, sodium citrate is the reducing agent that reduce $Ag^{+}$ to $Ag$ and stabilize it. I think colloidal silver generator would be for anyone who makes colloidal solution a dream I assure you is a very complex and tedious process.
Moreover both $Ag^{+}$ and colloidal silver are very difficult to store, the first may  undergo photo-reduction to the metal the second is unstable as many colloidal solution because colloidal solution have grater energy due their larger surface (More energy many times means more instability). Without any stabilizer (such as t-BuONa or citric acid) I don't think the colloid will last long.
However I don't see why you should drink something like this. In fact $Ag^{+}$ has antiseptic properties such as  Mercurochrome,HydrogenPeroxide or Lysol(R) but this don't mean drinking Lysol, Hydrogenperoxide or mercurochorme every morning will make you feel better. I strongly suggest you to do not drink such thing ever.