Yes, you qualify for a short gap exemption as you were not covered for only 2 consecutive months: May and June. You are considered as covered by a health policy even if you are covered for only 1 day in the month.
In the health insurance, indicate the months you were covered and TurboTax will apply the short gap exemption automatically.
**Say "Thanks" by clicking the thumb icon in a post
**Mark the post that answers your question by clicking on "Mark as Best Answer"