web-ui.md: Fix broken or outdated links

Correct broken or outdated links in the OpenBMC Web UI development
guide. Ensure all referenced URLs point to the intended resources
for webui-vue, phosphor-webui, and development environment setup.

Change-Id: Id095348f5f4f132d5ad47ea183ed2646dc2183c6
Signed-off-by: Hariharan Rangasamy <hariharanr@ami.com>
diff --git a/development/web-ui.md b/development/web-ui.md
index ae428c2..c11a522 100644
--- a/development/web-ui.md
+++ b/development/web-ui.md
@@ -32,7 +32,7 @@
 - Quick Start References
 
 Visit the
-[OpenBMC Web UI Themes Guide - How to customize](https://openbmc.github.io/webui-vue/themes/customize.html)
+[OpenBMC Web UI Themes Guide - How to customize](https://openbmc.github.io/webui-vue/customization/theme.html)
 to learn how to create custom builds to meet your branding and customization
 needs for:
 
@@ -60,8 +60,8 @@
 
 ## Phosphor-webui
 
-The [phosphor-webui](https://github.com/openbmc/webui-vue) repository provides a
-web-based interface for an OpenBMC. It uses the
+The [phosphor-webui](https://github.com/openbmc/phosphor-webui) repository
+provides a web-based interface for an OpenBMC. It uses the
 [AngularJS](https://angularjs.org/) framework to interact with the BMC via REST
 API calls. It allows users to view hardware information, update firmware, set
 network settings, and much more.