Load-Sharing with DFROBOT Solar Power Manager 5V

Hello, I want to make a project that uses Arduino uno , a servo and possibly a LCD for displaying information on it. Since power will be always drawn from the single cell 3.7V li-ion battery, I want the battery to be solar charged, while simultaneously powering the load. Is this https://www.dfrobot.com/product-1712.html going to provide a load-sharing capability ( charge termination when the li-ion is fully charged, hence preventing overcharge and fire hazard) ?