docs: per-client High-level walker example using LazyBrowseNode

Add a "High-level walker" subsection under each client's "Browsing
lazily" section showing idiomatic use of LazyBrowseNode (browse +
expand, idempotency note, redeploy refresh pattern).

clients/java/README.md

@@ -139,6 +139,36 @@ for (int i = 0; i < children.size(); i++) {
 }
 ```
 
+#### High-level walker
+
+For UI trees, the client provides a `LazyBrowseNode` walker that handles
+sibling pagination and the `child_has_children` hint for you:
+
+```java
+MxGatewayClientOptions options = MxGatewayClientOptions.builder()
+        .endpoint("localhost:5000")
+        .apiKey(System.getenv("MXGATEWAY_API_KEY"))
+        .plaintext(true)
+        .build();
+
+try (GalaxyRepositoryClient galaxy = GalaxyRepositoryClient.connect(options)) {
+    List<LazyBrowseNode> roots = galaxy.browse();
+    for (LazyBrowseNode root : roots) {
+        if (root.hasChildrenHint()) {
+            root.expand();
+        }
+        for (LazyBrowseNode child : root.getChildren()) {
+            String kind = child.hasChildrenHint() ? "has children" : "leaf";
+            System.out.println(child.getObject().getTagName() + " (" + kind + ")");
+        }
+    }
+}
+```
+
+`expand` is idempotent — calling it twice fires only one RPC,
+and is safe under concurrent callers. To refresh after a Galaxy redeploy, call
+`browse` again from the root.
+
 ### Watching deploy events
 
 `GalaxyRepository.WatchDeployEvents` is a server-streaming RPC: the gateway