This paper investigates the application of topological indices to bridge graphs, which are graphs where every edge is a bridge. Topological indices are numerical measures that provide insights into the structural properties of graphs. Understanding the behavior of these indices in the context of bridge graphs is important for unraveling their unique characteristics and connectivity patterns. We will apply the concept of temperature based topological indices on different unknown topological indices namely, 1st and 2nd Zagreb indices, Forgotten index, productivity index and reciprocal productivity index. This study demonstrates that temperature based topological indices exhibit distinct patterns when applied to bridge graph over path, cycle and complete graph. Some indices effectively capture the bridge structure and connectivity properties, while others may not provide meaningful information. The limitations and challenges associated with using topological indices for bridge graphs are discussed, emphasizing the need for new or modified indices that better capture the unique characteristics of this graph type.