Nice if we knew what sort of car you have but the gauge pod is easy to get out, usually 3 screws along the top and a couple in front will get the gauge cover off then after that is out of the way there will be maybe 2 more screws in a similar position which will loosen the gauges, drop your steering wheel to it's lowest point and move the gauges around until you can get to the plugs, usually 2 or 3 depending on the model then remove the unit......................find the buggered globe and replace it then put everything back together, you may have a speedo cable which needs to come off the back of the speedo also but highly unlikely in the US.
The stereo is on a different circuit, if it's not the original stereo they have a wire going to power for the lights, check for an in line fuse or just check your fuses.