How do I start hanging outside of school/going to parties?

So I have been trying to make my social life more active. I have almost never hung out with friends, never been to a party, never dated (tried, but was always rejected).

I have started talking to people, being friendlier in general, and sitting at a table where this casual friend of mine sits, sort of to try to get into the social scene in a way and network my way in.

How should I go about asking to hang out with them outside of school or ask if there are any parties coming up? Or rather, is it acceptable to sort of invite yourself to these sort of things?
Updates:
+1 y
Bump. Anyone?
How do I start hanging outside of school/going to parties?
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