This was my experience as well. In SF and got symptoms mid Feb, doctor visit two weeks later concluded pneumonia and gave me antibiotics, no covid tests available, took 2+ months to recover. Later got Abbott Architect antibody test and it was negative, but I'm skeptical of the result.
> Dr. Francis Collins, director for the National Institutes of Health (NIH), said the Abbott ID Now machine, which is used to perform rapid coronavirus tests, has “about a 15% false negative rate.”