The Infinity Wallet Web3 Browser is similar to a typical (Web2) browser, except that it is additionally enhanced with built-in native Web3 capabilities. This means that you can search for and visit any website, in addition to being able to instantly connect your wallet with DApps.
You can access the Web3 Browser in the left side menu. On visiting it you can browse through the list of DApps, and filter by chain or category. Alternatively you can click on the search bar to search for a particular DApp, or enter a website address (URL) to visit.
On visiting a DApp, you may see a popup asking whether you would like to approve connecting with it. If you want to use the DApp, you can accept the connection request to begin using it straight away.
If you don't see the connection request on visiting a DApp, it may be that you have previously approved connecting with the DApp and you are already connected.
Otherwise you may need to manually press a button on the site, often labeled "Connect Wallet" to connect. On pressing to connect your wallet, you should see a popup with some options to connect. Depending on the DApp, you can choose an option such as "Infinity Wallet", "Browser Wallet", or "Metamask" to connect instantly. Alternatively you can choose the "WalletConnect" option, although this will not benefit from the native Web3 browser capability.
On approving connection with the DApp you should now be connected. Any transaction requests when using the DApp would appear as a popup in your wallet.
After connecting, some sites may additionally ask you to sign a message to verify ownership of your wallet to log in with them. You can view the message you have been asked to sign by clicking on the "Show message" text in the sign request popup.