The project abstract for the data lakehouse migration for Transuniverse involves transitioning the Power BI "Out-of-the-Box" data warehouse to a data lakehouse architecture. The process includes setting up Self-Hosted Integration Runtimes, ingesting data sources to the silver layer, recreating silver views, transforming logic to gold, creating Power BI Models, and mapping General Ledger accounts in Dataverse. Additionally, it involves migrating PowerApps to the new data lakehouse file format and setting up an Azure Data Factory (ADF) pipeline to refresh the dataset post-loading.