In recent years, transformer-based models like BERT and ChatGPT/GPT-3/4 have shown remarkable performance in various natural language understanding tasks. However, it's crucial to note that while these models exhibit impressive surface-level language understanding, they may not truly understand the intent and meaning beyond the superficial sentences. This paper is a survey of studies of the popular Large Language Models (LLMs) from various research and industry papers and review the abilities in term of comprehending language understanding like what human have, revealing key challenges and limitations associated with popular LLMs including BERTology and GPT alike models.