This is a common question that pops up from time to time. I'll take a stab at clarifying.
Serverless Stack (SST) and Serverless Framework(SLS) are two different options for building serverless applications. They are not related to one another as the names may imply.
A bit of history about the project from my (probably incomplete) understanding:
The Serverless Stack Guide is among the most comprehensive step-by-step tutorials on building a full stack serverless application on AWS. This guide walks readers through building a serverless application using the Serverless Framework. This guide is wildly popular and is responsible for introducing many to serverless applications (myself included). The authors of this guide built Seed.run, a CICD tool built specifically with serverless (little-s) applications in mind.
Fast forward a few years, the team that developed The Serverless Stack Guide went onto develop SST. SST provides an alternative approach to developing serverless applications. Seed.run was updated to support SST applications. However, the Serverless Stack Guide still covered building serverless application using the Serverless Framework. This may be the root of your confusion.