I don't want to shovel my mom's friend's huge driveway
Is there a reason you would have to?
My mom's friend is such a fucking snob and all I want to do right now is drink and hang out with my friends
I understand it takes a huge effort and the driveway is big but see it as helping your mother and not the friend. After this shoveling job, have a conversation about not having to do this next year because you find the friend to be snobbish and let her know how you feel. Otherwise, your mother will make you shovel the friend's driveway year after year.
She keeps telling me that I should just make friends like her friend.
You should not be forced to do anything. If someone needs help because of age or health status is is good to help them out  when you can.