Add documentation structure (#1425)

docs/index.md

@@ -1,5 +1,57 @@
-# MCP Server
+# MCP Python SDK
 
-This is the MCP Server implementation in Python.
+The **Model Context Protocol (MCP)** allows applications to provide context for LLMs in a standardized way, separating the concerns of providing context from the actual LLM interaction.
 
-It only contains the [API Reference](api.md) for the time being.
+This Python SDK implements the full MCP specification, making it easy to:
+
+- **Build MCP servers** that expose resources, prompts, and tools
+- **Create MCP clients** that can connect to any MCP server
+- **Use standard transports** like stdio, SSE, and Streamable HTTP
+
+If you want to read more about the specification, please visit the [MCP documentation](https://modelcontextprotocol.io).
+
+## Quick Example
+
+Here's a simple MCP server that exposes a tool, resource, and prompt:
+
+```python title="server.py"
+from mcp.server.fastmcp import FastMCP
+
+mcp = FastMCP("Test Server")
+
+
+@mcp.tool()
+def add(a: int, b: int) -> int:
+    """Add two numbers"""
+    return a + b
+
+
+@mcp.resource("greeting://{name}")
+def get_greeting(name: str) -> str:
+    """Get a personalized greeting"""
+    return f"Hello, {name}!"
+
+
+@mcp.prompt()
+def greet_user(name: str, style: str = "friendly") -> str:
+    """Generate a greeting prompt"""
+    return f"Write a {style} greeting for someone named {name}."
+```
+
+Test it with the [MCP Inspector](https://github.com/modelcontextprotocol/inspector):
+
+```bash
+uv run mcp dev server.py
+```
+
+## Getting Started
+
+<!-- TODO(Marcelo): automatically generate the follow references with a header on each of those files. -->
+1. **[Install](installation.md)** the MCP SDK
+2. **[Learn concepts](concepts.md)** - understand the three primitives and architecture
+3. **[Explore authorization](authorization.md)** - add security to your servers
+4. **[Use low-level APIs](low-level-server.md)** - for advanced customization
+
+## API Reference
+
+Full API documentation is available in the [API Reference](api.md).