The phrase "look square eye" means to stare directly at someone or something with a fixed gaze. Some synonyms for this phrase include "gawk," "gaze," "stare," "ogle," and "peer." Each of these words describe the action of looking intently at something or someone, but may have slightly different connotations. "Gawk" implies a sense of awkwardness or rudeness in the staring behavior, while "ogle" has a more lustful or sensual undertone. "Gaze" and "stare" are more neutral terms, while "peer" suggests a more focused, concentrated inspection. Overall, there are many ways to describe the act of looking intently at something or someone, depending on the desired tone or emphasis.