What happens to glucose taken up by the liver in type 1 diabetes?
1) Hepatic glucose intake may not be much greater in hyerglycemia than in normoglycemia:

Regulation of Hepatic Glucose Uptake and Storage In Vivo (Advances in Nutrition, 2012):


  ...neither hyperinsulinemia nor hyperglycemia can independently induce
  much net hepatic glucose uptake.


2) Glucose can be used for de novo lipogenesis in the liver despite the lack of insulin:

De Novo Lipogenesis and Cholesterol Synthesis in Humans with Long-Standing Type 1 Diabetes Are Comparable to Non-Diabetic Individuals (PLoS One, 2013):


  Fasting total hepatic lipogenesis (3.91±0.90% vs. 5.30±1.22%;
  P = 0.41) was not significantly different between diabetic and control
  groups...