google-calendar-mcp, mcp-gsuite, gtasks-mcp, mcp-googletasks are the best free/paid Calendar Management MCP Servers.
Google Calendar MCP server for Claude Desktop integration
MCP Server to interact with Google Gsuite prodcuts
A Google Tasks Model Context Protocol Server for Claude
This Model Context Protocol (MCP) server provides a bridge between Claude and Google Tasks, allowing you to manage your task lists and tasks directly through Claude.