I don't think you really want to uninstall it. Stock apps cannot be removed unless you root the device, ignoring the app though is much easier.
First, you can remove the so from your home screen and perhaps even from the launcher (only doable on some devices). @wbogacz had shown how for Samsung device.
Second, you'll want to delete the default app setting so that when other apps request to open a page in browser, you'll be launching Chrome instead of the stock browser. You could do this from
Settings > Applications > Manage applications. Find the Browser app there and choose Clear Defaults. Next time an app launched a browser, choose Chrome and set it to always launch with Chrome.