feat: initialize monorepo structure with Bun and Turborepo

- Add package.json for the root with workspace configuration and scripts
- Create @gruperly/config package with TypeScript configuration
- Establish shared package @gruperly/shared with Zod schemas for validation
- Implement group, student, and payment schemas using Zod
- Set up TypeScript configuration for shared package
- Document stack architecture and technical specifications in stack.md
- Configure Turborepo with build, dev, lint, and typecheck tasks

apps/web/package.json

@@ -0,0 +1,34 @@
+{
+  "name": "@gruperly/web",
+  "version": "0.1.0",
+  "private": true,
+  "type": "module",
+  "scripts": {
+    "dev": "vite",
+    "build": "vite build",
+    "preview": "vite preview",
+    "typecheck": "tsc --noEmit"
+  },
+  "dependencies": {
+    "@gruperly/shared": "workspace:*",
+    "@hookform/resolvers": "^3.9.0",
+    "@tanstack/react-query": "^5.62.0",
+    "@tanstack/react-router": "^1.90.0",
+    "clsx": "^2.1.1",
+    "lucide-react": "^1.34.0",
+    "react": "^19.0.0",
+    "react-dom": "^19.0.0",
+    "react-hook-form": "^7.54.0",
+    "tailwind-merge": "^3.6.0",
+    "zod": "^3.24.0"
+  },
+  "devDependencies": {
+    "@tailwindcss/vite": "^4.3.3",
+    "@types/react": "^19.0.0",
+    "@types/react-dom": "^19.0.0",
+    "@vitejs/plugin-react": "^4.3.0",
+    "tailwindcss": "^4.0.0",
+    "typescript": "^5.7.0",
+    "vite": "^6.0.0"
+  }
+}