Seems to me the fuel gauge isn't at all 'linear' - when the first bock disappears, it doesn't mean you've used 1/6 of the fuel, it's probably a bit more than that. The next 4 go relatively quickly, maybe they cover half a tank. The reserve flashing starts at around 1/4 of a tank, from what I can work out. Should be good for at least 30 miles of normal riding, but I've never tried myself or seen anyone actually test it out.
Also the economy on a new engine won't be as good. Whatever you get now will increase by about 10% after a couple of thousand miles, as things loosen up.
You can pretty much ignore the on board fuel computer too. It's OK as a guide, but it's not very accurate. I tend to reset my trip meter when I fill up, then divide litres to fill by 4.54 to get gallons, and divide that by the mileage to get mpg. Mine does around 55 - 60 mpg, but most of my riding is in heavy London traffic.
tl;dr: No, don't worry. The only time you need to pay attention to the fuel gauge is when you're running low.