I've seen on those sending units the little brushes break off. Any time the fuel gauge reads open, it shows full. The only way I know to fix it is to replace the pump unit. The last on we bought came from O'Reily's, but you might find a better price somewhere else. Oh I have bought them off e-bay too, but you might get one someone replaced for that same reson.
2006 Superior Blue Trailblazer SS AWD, Stock as a rock
Sold: 2002 GMC Sportside Denali front end with a 2002 LS1, FLT level 5, Yank 2600, Trick Turbo, T76, Nelson intercooler, 60LB injectors, Warbro fuel pump, Eaton locker, Magnaflow, 3.42, Nelson Performance Tuning (speed density).
Sold: 1981 GMC LB RC 1500 2002 4.8L 4L60E 12 bolt 3.73 Richmond Lock Right AC PS Nelson Performance tuning