There is a lot of variance in sweating (perspiration). Some people break into a sweat very quickly, some people not so much.
On the far ends of sweat-o-meter you have hypohidrosis in which an insufficient amount of sweat is produced. Although handy in social circles, it can become very dangerous in conditions when your body needs to cool down. Hypohidrosis in extreme conditions can lead to heat stroke and death.
Then there's hyperhidrosis, which means you'll sweat a lot. This can also cause problems related to dehydration and skin infections.
A doctor can diagnose you with either of those, but chances are you're in the range of normal, and so is your friend, but you two just exist in different areas of "normal" (ie: not a diagnosed condition).
Also, as your fitness increases so will the amount of sweat you produce. From Chris Carmichael (professional Olympic cycling coach, and Olympian himself):
Improving fitness impacts the way your body works in a wide variety of
ways, and your sweat response to exercise changes as you become more
fit because you’re increasing the workload your body has to be able to
handle.
As you become more fit, you are able to work harder. You generate more
power ... and maintain a faster pace ...
But the ability to work harder also means you have the ability
to generate a lot of heat in a very short period of time. You also
have the endurance to sustain exercise longer, meaning you have the
capacity to generate heat for a longer period of time. Your body has
to adapt to these demands in order to keep your core temperature
stable.