What type of tissues covers the lungs?

Answer 1

Not knowing the depth for which you desire an answer, I provide the following article which well describes all possible levels of your question.

Normal Anatomy, Tissue Artifacts, and Incidental Structures

Douglas B. Flieder, in Pulmonary Pathology (Second Edition), 2018

Pleura

The visceral pleura has five layers. A single layer of mesothelial cells without a basement membrane rests on a submesothelial layer of loose connective tissue approximately as thick as the mesothelial cell layer. The third layer is a well-defined elastic layer, and the fourth is the interstitial or loose connective tissue layer containing lymphatics, blood vessels, and collagen. The final layer is composed of elastic fibers and fibrous tissue that merges with the underlying lung. This architecture is often disturbed in settings of inflammatory or neoplastic disorders. Parietal pleura is similar to visceral pleura, but the layers are less distinct. The mesothelial cells lie on a connective tissue plane containing a single elastic layer and scattered blood vessels and lymphatics. The parietal pleura interdigitates with chest wall adipose tissue overlying dense collagen. This endothoracic fascia fuses with either skeletal muscle or rib periosteum. It should be noted that the presence of fat in a pleural biopsy does not necessarily indicate that a biopsy is from the parietal pleura, because fatty metaplasia of visceral pleura and subpleural lung tissue is a common finding in many disease states.