REST and GraphQL are two distinct technologies used for linking clients to databases and platform logic, each with unique monitoring techniques. RESTful architecture relies on multiple endpoints with specific rules for monitoring, utilizing HTTP status codes to signal errors, which can be tracked through tools like Coralogix for error analysis and alerting. GraphQL, on the other hand, employs a single endpoint that allows users to specify the data they need, making it more flexible but also presenting challenges for monitoring, as errors are integrated with data responses and require more intricate log analytics to troubleshoot issues. AWS's API Gateway supports both architectures, offering monitoring tools such as CloudWatch and CloudTrail to help developers manage and optimize endpoints. The architectural differences between REST and GraphQL influence endpoint traffic handling, with REST necessitating data chaining for comprehensive datasets, while GraphQL's single query capability reduces traffic but complicates caching. Both systems benefit from third-party log analytics platforms for enhancing monitoring and error resolution, despite their contrasting endpoint designs.