There are a number of ways to integrate the web into your LabVIEW application. While this group is mostly focused on using web services to build web clients in LabVIEW, there may be another way that works better for you. First, explore the full range of options in Building an HMI for Your System. You may also want to check out the Smartphones, Tablets, and Mobile Devices community group.
Partner Tools for Web Connectivity
In addition to the powerful tools that are created by NI, there is also some amazing technology created by partners and users like you to extend LabVIEW more effectively over the web. Here is a list of those tools as a starting point. Please post documents or comments with your experience using any of these tools!