The core shadcn primitives are always available to v0 so all you need is to tell it to build the app sidebar
A file like this should work
1"use client"23import { BarChart, FileText, Home, List, Package, Settings, Users } from "lucide-react"45import {6 Sidebar,7 SidebarContent,8 SidebarGroup,9 SidebarGroupContent,10 SidebarGroupLabel,11 SidebarHeader,12 SidebarMenu,13 SidebarMenuButton,14 SidebarMenuItem,15 SidebarRail,16} from "@/components/ui/sidebar"1718export function AppSidebar() {19 return (20 <Sidebar>21 <SidebarHeader className="flex h-14 items-center border-b px-4">22 <span className="font-semibold">My Application</span>23 </SidebarHeader>24 <SidebarContent>25 <SidebarGroup>26 <SidebarGroupLabel>Main Navigation</SidebarGroupLabel>27 <SidebarGroupContent>28 <SidebarMenu>29 <SidebarMenuItem>30 <SidebarMenuButton asChild>31 <a href="#">32 <Home className="h-4 w-4" />33 <span>Dashboard</span>34 </a>35 </SidebarMenuButton>36 </SidebarMenuItem>37 <SidebarMenuItem>38 <SidebarMenuButton asChild isActive>39 <a href="#">40 <List className="h-4 w-4" />41 <span>Items</span>42 </a>43 </SidebarMenuButton>44 </SidebarMenuItem>45 <SidebarMenuItem>46 <SidebarMenuButton asChild>47 <a href="#">48 <Users className="h-4 w-4" />49 <span>Users</span>50 </a>51 </SidebarMenuButton>52 </SidebarMenuItem>53 <SidebarMenuItem>54 <SidebarMenuButton asChild>55 <a href="#">56 <BarChart className="h-4 w-4" />57 <span>Analytics</span>58 </a>59 </SidebarMenuButton>60 </SidebarMenuItem>61 </SidebarMenu>62 </SidebarGroupContent>63 </SidebarGroup>64 <SidebarGroup>65 <SidebarGroupLabel>Resources</SidebarGroupLabel>66 <SidebarGroupContent>67 <SidebarMenu>68 <SidebarMenuItem>69 <SidebarMenuButton asChild>70 <a href="#">71 <FileText className="h-4 w-4" />72 <span>Documentation</span>73 </a>74 </SidebarMenuButton>75 </SidebarMenuItem>76 <SidebarMenuItem>77 <SidebarMenuButton asChild>78 <a href="#">79 <Package className="h-4 w-4" />80 <span>Components</span>81 </a>82 </SidebarMenuButton>83 </SidebarMenuItem>84 </SidebarMenu>85 </SidebarGroupContent>86 </SidebarGroup>87 <SidebarGroup>88 <SidebarGroupContent>89 <SidebarMenu>90 <SidebarMenuItem>91 <SidebarMenuButton asChild>92 <a href="#">93 <Settings className="h-4 w-4" />94 <span>Settings</span>95 </a>96 </SidebarMenuButton>97 </SidebarMenuItem>98 </SidebarMenu>99 </SidebarGroupContent>100 </SidebarGroup>101 </SidebarContent>102 <SidebarRail />103 </Sidebar>104 )105}