Other than being careful not to eat too much and not to eat anything too heavy, I don't really think it's a matter of its needing to be flavorless - just something that's not too heavy and that you feel like you can tolerate.
I've always found that I get to a point after being sick where I think, "Hey, you know what I want? " It's usually something I'd otherwise not eat very often. For some reason, the boxed macaroni and cheese is something I can tolerate after enough time has passed. I think if you're not at the "You-know-what-I-feel-like-eating state" you're probably better of starting of with some like saltine crackers or plain toast just to get rid of the empty stomach, which, in itself, isn't always helpful as far as nausea goes - at least once the "being sick" has died down.
I've always found that starting with just something like that tends to make me feel just that much better, and then I get to that "You-know-what-I-feel-like-eating stage". I know people who can dive right back into eating, say, lasagna after being sick. I've never been one of them. For me, it can take several days before I don't have to depend on "what I feel like eating" to think up what I could eat.
What someone can/should eat after being sick can depend on what caused the problem in the first place. Some cause just run their course and that's it, and nobody has to worry about what they eat - as long as they feel up to eating and maybe don't over-do it. I certainly can't offer a sure reading on your situation, but I'm think that if you're even THINKING about wanting flavor there's a good chance you're through with being sick, provided your problem was caused by one of the "usual" ones and not a more serious medical condition or something like some medication you may be on.
Either way, you may not be entirely out of the woods. There's always the chance that the bouts are just increasing between-time spacings, but I think the main thing isn't "no flavor". It's more "nothing heavy" and "no big loads of anything".
Note: I agree with the individual who says how important it is to get fluids in. That's not something that's just one individual's "ideas". It's a medical and important fact.