ohhhh F@K....i suddenly realizes what all this means...

NO NEW PURCHASES OR UPGRADES FROM NOW ON!!!

Welcome!
Why so dramatic one.. Are you pushing yourself too much? The rides suppose to give you enjoyment one...
Can't tell you exact reason without knowing the details.
I seen young guy puked going up hill due to over exertion or you may have overdid it while in a full stomach.

Don't worry, you will get over it, take it easy my friend and enjoy. In time to come, you will be able to do staff you currently unable to. And go with the biggest gears for easier climb.

start out by lapping around your house first... flat road preferably..get a feel of the bike and when you are comfortable..then you try the small hills...

when going up hills... use the lightest gear you can find... or as heavy as you  can afford to depending on the speed...that means the smallest in the front (left side shifter) and the combination of the larger gear at the back (right side)

it's like driving a car, you can't force a car to go up genting in 5th gear at 20kph... so you downshift appropriately till the car is not struggling up the incline...you do the same for your bike..

it depends on what gearing you have... unless the place you are climbing is quite steep... maybe you should tell where it is and we could have ridden there before to tell you if it is considered steep...

riding on the smallest front chainring and the biggest rear cog should be able to get you up most stuff... but as a newbie.. road bike gearing is never as light as MTB...so, it might take a while if you meet with the steep stuff...

wat i suggest is ride the flats first to build up your stamina a bit and find the hill that is short and least steep... progressively build from there on as you find longer and steeper ones... you need a combination of both to improve on your stamina and build some muscles...

personally, i don't think much of the appropriate gears to be in, etc. when i cycle, if i feel it's getting harder n my cadence is getting slower, i shift to lighter gear (bigger cog). if i've run out of cogs, i shift to smaller chainring and shift to smaller cog.

don't think too much. cycling should be as natural as running/walking.

there was a lady i cycled with before. she read technical articles off the internet on how to cycle uphill. so one day we went cycling together in a group. first climb, bukit hantu. she climbed awfully slow, even too slow for a beginner. we waited for a long time at the top of the hill. when she reached the top, we saw that she had her gear at the smallest cog. so we asked her, why? she said she read the article, and it said when climbing uphill, u should shift to lower gear. the article meant, shift to the largest cog. what she understood was, shift down to the smallest cog. and she stayed in that cog despite having a hard time climbing.

don't be too nerdy and stick to the articles we read, and forgo the magnificent capability of our brain to think logically

if the going gets tough, shift to lighter gear. so on n so on.... that's the purpose of gearing

SRAM Force is good enough for me..I'm loving the double tap..until now no upgrade so far..
Dude, you might wanna check your health condition first with a doctor, see whether you can do strenuous activities or not. Fainting on a bike on the road could be fatal 
I live there. Used to cycle your route also..ok lah can sweat a bit riding there, mostly on weekend morning when there's not many cars on the road..want a steeper climb you can try the residential area going to Tesco, I forgot the name of the place.