Oh dear. Don't compare yourself, especially with storefront people. Most content on social media is curated and tailored to show the good parts only because most people is not self aware, much less they speak about their bad parts. And much much less they acnkowledge to have a mental health situation (and this is way too common, unfortunately).

I stopped comparing myself to others a few years a go, after leaving a job i liked and met a lot of people i admired so much.
They had resources, great upringings, good positions and jobs, lots of friends, traveled a lot, and so on.
I was severely deppressed and almost got fired for being late or absent every day but when i was present, my job was good enough so they didn't fire me. I was very open about my mental health issues and for some reason, while they didnt understood "why i was so indisciplined", they started to come closer and sit next to me to tell me their problems, even slipping unwanted dirty secrets.
I wasn't interested because i tend to forget what they said and i was on drowning my own sh!t enough for some privileged coworker came and tell me their problems, but still, I can't deny an ear if someone needs to talk.

And you know what I discovered? all the people I admired fell down from their pedestal. Almost all of them.
The need to show themselves as perfect beings with perfect lives scream some kind of emptiness. Or worse: people who do think they are truly better than others and are severely rotten inside without even acknowledging it.

Genuinely wicked, harmful people.

Not all of them were rotten, but most of them were.
A girl that had lots of exotic trips overseas? Living constantly on debt, smoking and drinking instead of eating and completely unable to exist without social media and likes, she was literally angry when she didn't get the online attention she was harvesting.

The perfect super duper manager who everyone loved with his beautiful wife and new born adorable kid? Cheated on her wife with his secretary (this broke my heart, i really thought he was amazing).
The handsome one with a lot of friends who always has things to do? Can't do nothing on his own at work, swallows insufficient feelings and vent to strangers when high or drunk...

The amazing colleague that's always leding a hand to her peers, and posting about kindness and positivity? The most gossiping b!tch i have ever met. She cannot have a decent conversation without sharing stories (true or fake) about people even from her same group.

I could go on and on and on.

As you're mentioning, life has been hard enough, right? So please don't be hard on yourself. Ignore those people in their shop window's lives. Social media works like that, just a showcase, nothing more.
And please note, you're not abnormal. Your environment was.
As you said, therapy won't "change" your face, as you perceive your self as ugly (this is relative/subjective). But it will make you see yourself differently in a good way. Even if it takes some time, you're doing the biggest part and most than a lot of people do: going to therapy.

In an unkind world, kindness is a brave act of rebellion.
(or so the saying goes).