Try this multi-patcher which installs all known patches for Tomb Raider I to V. For Tomb Raider I and II it also restores CD music.

[url=]http://www.tombraiderchronicles.com/windows7/patch.html[/url]

If you want to use a gamepad / joystick. This also works out of the box but only with DirectInput Devices. I'm using a Logitech G710 gamepad that has a switch to choose between Xinput (post 2006 games) and Directinput (pre 2006 games). You then only have to map your keys. By default no joystick keys are mapped. I would use the playstation 1 keymapping as detailed here:

[url=]http://tombraiders.net/stella/gameplay.html[/url]

I think you are confused: that patch only works for TR I and TR III. At least, when it comes to GoG version.

Anyway, this patch does not restore music for TR1.

The TR fanbase has found a way to implement the PS1 audio tracks into the PC version of TR1:
http://www.tombraiderforums.com/showthread.php?t=166520

Unfortunately, the aformentioned fix is incompatible with the GOG version.
We're discussing the subject here:
http://www.gog.com/en/forum/tomb_raider_series/tr1_ingame_music/page1

Thank you so much for those links.