Digital twins, long utilized in industries for enhancing efficiency, maintenance, real-time monitoring, and sustainability, are now gaining traction in healthcare, particularly with a disease-focused approach. This paper presents our journey towards the realization of a Digital Twin framework specifically designed for Critical Care, emphasizing patient safety, operational efficiency, and sustainability. Our Digital Twin architecture is uniquely structured with a dual-layer approach: a physical twin monitors real-time activities, while a conceptual twin represents ideal workflows. In Phase 1 of our research work, we aim to establish a methodology for live activity tracking. Our findings indicate that by reviewing documentation alone, we could successfully track 72% of tasks performed by nursing staff and physicians in real time. These results underscore the potential of Digital Twins to transform critical care delivery by bridging the gap between actual and ideal clinical practices.