In this paper, we propose EAGLE, a lightweight framework for temporal link prediction in dynamic graphs. While existing Temporal Graph Neural Networks (T-GNNs) suffer from high computational cost due to their complex structures, EAGLE solves this problem by integrating short-term recent neighbor information and long-term global structural patterns. The temporal-aware module aggregates recent neighbor information of nodes, and the structural-aware module captures the influence of globally important nodes by utilizing temporal Personalized PageRank. It uses an adaptive weighting mechanism that dynamically adjusts the contributions of the two modules according to data characteristics, and significantly improves efficiency by eliminating complex multi-stage message passing or memory-intensive mechanisms. Experimental results show that EAGLE outperforms existing state-of-the-art T-GNNs in terms of effectiveness and efficiency, and is more than 50 times faster than transformer-based T-GNNs.