There's a package for this: Browser Refresh by Giovanni Collazo. It supports OS X and Windows 7, and all major browsers.
You can install it via Package Control (or manually) and trigger it with super+shift+r
in Sublime Text 2.
I haven't tested it personally since I use CodeKit for this functionality, but it seems popular.
Update:
Windows XP-compatible software
- LiveReload (Windows version is pre-alpha) - there is also a supporting Sublime Text 2 package
- XRefresh - deprecated version of LiveReload (worth mentioning for stable XP compatibility)
- AutoHotKey - example
- VBS script - triggered by a keyboard shortcut
Chrome extensions
- Refresh Monkey
- Easy Auto Refresh
ChromeReload
Auto-Reload
Auto Refresh Plus
Firefox addons
- Tab Auto Reload
- ReloadEvery
IE addons
Note: Browser extensions will refresh at regular intervals, not when you save a file.