My endo doesn't test E levels, because she says they fluctuate too much to be of use to her. She did test T back when I was pre-op, but she also said that her policy was "don't chase levels at the expense of the patient," meaning that if I was happy and developing well that was the most important.
However, she definitely ran liver function and other blood tests to check for abnormalities, and I absolutely appreciate that, because I actually did have some liver damage from HRT in the first 3 months. (She prescribed a low dose to start, and even that turned out to be twice as much as I needed.)