If you have an intolerance or sensitivity, the blood test will come back negative as your body doesn't produce antibodies indicative of celiac, and your villi remain intact, so the biopsy will show nothing. However, you can still have some incredibly unpleasant side-effects from eating gluten.
Even in folks with celiac disease, it can go under the radar. If you've been eating a gluten free diet prior to the tests, the results can come back negative, but that doesn't mean you don't have it.
Source: I have celiac disease, and it was a pain in the ass to get diagnosed.