pom.xml

<!-- https://mvnrepository.com/artifact/com.azure/azure-cosmos -->
<dependency>
	<groupId>com.azure</groupId>
	<artifactId>azure-cosmos</artifactId>
	<version>4.6.0</version>
</dependency>

接続に必要な情報はAzure Portalで取得できます。

package hello.cosmosdb;

import java.util.Iterator;

import com.azure.cosmos.CosmosClient;
import com.azure.cosmos.CosmosClientBuilder;
import com.azure.cosmos.CosmosContainer;
import com.azure.cosmos.CosmosDatabase;
import com.azure.cosmos.models.CosmosQueryRequestOptions;
import com.azure.cosmos.util.CosmosPagedIterable;
import com.fasterxml.jackson.databind.JsonNode;

/**
 * 
 * https://docs.microsoft.com/en-us/azure/cosmos-db/sql-api-sdk-java-v4
 * https://docs.microsoft.com/en-us/java/api/overview/azure/cosmos-readme?view=azure-java-stable
 * https://github.com/Azure-Samples/azure-cosmos-java-sql-api-samples/blob/367c796257feb37d2f8003a86fe51b0658fcf6ff/src/main/java/com/azure/cosmos/examples/queries/sync/QueriesQuickstart.java#L119
 * 
 * @author Hiroki Oya
 *
 */
public class HelloCosmosDbJavaSDK_V4 {

	private CosmosDatabase database;
	private CosmosContainer container;

	public void query() throws Exception {

		// [Azure Portal] - [your_cosmosdb] - [Keys] - [URI]
		String serviceEndpoint = "https://your_cosmosdb.documents.azure.com:443/";

		// [Azure Portal] - [your_cosmosdb] - [Keys] - [PRIMARY KEY | SECONDARY KEY]
		String key = "your_key_here";

		// [Azure Portal] - [your_cosmosdb] - [Data Explorer]
		String databaseId = "TEST";

		// [Azure Portal] - [your_cosmosdb] - [Data Explorer]
		String containerId = "container_for_test";

		String query = "SELECT * from c";

		CosmosClient client = new CosmosClientBuilder() //
				.endpoint(serviceEndpoint) //
				.key(key) //
				.buildClient();

		database = client.getDatabase(databaseId);
		container = database.getContainer(containerId);

		CosmosQueryRequestOptions options = new CosmosQueryRequestOptions();

		CosmosPagedIterable<JsonNode> page = container.queryItems(query, options, JsonNode.class);

		Iterator<JsonNode> it = page.iterator();

		while (it.hasNext()) {
			System.err.println(it.next());
		}

		client.close();

	}

	public static void main(String[] args) throws Exception {
		HelloCosmosDbJavaSDK_V4 h = new HelloCosmosDbJavaSDK_V4();
		h.query();
	}

}

Reference

Azure Cosmos DB Java SDK v4 for SQL API release notes and resources | Microsoft Docs
https://docs.microsoft.com/en-us/azure/cosmos-db/sql-api-sdk-java-v4

Maven Repository: com.azure » azure-cosmos
https://mvnrepository.com/artifact/com.azure/azure-cosmos

Azure CosmosDB Client Library for Java | Microsoft Docs
https://docs.microsoft.com/en-us/java/api/overview/azure/cosmos-readme?view=azure-java-stable

azure-cosmos-java-sql-api-samples/QueriesQuickstart.java at 367c796257feb37d2f8003a86fe51b0658fcf6ff · Azure-Samples/azure-cosmos-java-sql-api-samples · GitHub
https://github.com/Azure-Samples/azure-cosmos-java-sql-api-samples/blob/367c796257feb37d2f8003a86fe51b0658fcf6ff/src/main/java/com/azure/cosmos/examples/queries/sync/QueriesQuickstart.java

Azure Cosmos DB Workshop - Querying in Azure Cosmos DB
https://cosmosdb.github.io/labs/dotnet/labs/03-querying_in_azure_cosmosdb.html

以上です。