I am very new to all of this.
Everyone starts somewhere and no one is putting the blame on you

I am very new to all of this.

If you can get the model number of the PSU from the label (assuming it is easily accessible) then we can tell you if the power supply would normally be expected to have a 6-pin (or PCIE 6+2) power connector or not.It’s not doing anything but I do see a 6 slot socket to pop a cable into but I don’t see one anywhere unless it’s tucked in. How do I post a photo on here please I am so sorry !
I bought it a couple of weeks ago for my daughter for Christmas . I didn’t have a clue as to what I was looking at just didn’t want to spend too much money with it being her first one.When did you buy the pc? Based on 3770 we assumed you bought it 10+ years ago, but it's starting to sound like you bought it recently?
my thoughts exactlyUnfortunately this is a scam. Someone has sold you a very old computer and advertised it like it's a gaming pc but it isn't. It's pretty much worthless. You'll have to try to get your money back.
With the 3050 fitted it could play most casual or older AAA games at 1080p resolution, but it'll struggle with anything released recently (in the last 1-3 years, like Starfield, Hogwarts) due to a 10+ year old CPU.Gaming PC Tower | Intel Core i7-3770 3.90GHz | 16GB
RAM | GT730 2GB Graphics Card | 256GB SSD+1TB HDD || 500W 80+ PSU | Black Gaming Case with 6 RGB Fans
it wasn't. £330! i could poop out a better computer in my sleep for that!If the price paid was fair

When did you buy the pc? Based on 3770 we assumed you bought it 10+ years ago, but it's starting to sound like you bought it recently?
I bought it a couple of weeks ago for my daughter for Christmas . I didn’t have a clue as to what I was looking at just didn’t want to spend too much money with it being her first one.
OP paid £330 for the pc and £200 for the 3050, so a total of £530I doubt anyone here will be building you a new PC for around £455 which I am guessing is roughly what you paid for the PC and the additional graphics card combined.
there's a better prebuilt spec from another etailer (5500 + 16gb ram + 3050 + 1tb ssd) for cheaper. i've given OP the details alreadyRyzen 5 16GB 500GB RTX3050 Gaming PC which comes with Windows 11. Full spec below.
having had a look at the listing that OP sent me, this is highly unlikely. i fully expect a no-name linglong "500w" psu that does not have a pcie cable. you know the ones that advertise 500w but it's actually only 200w to the 12v railMy guess is that the cable is there, as it's a generic 500w PSU they use across the range, and that range includes RTX3050 GPU's. It will not be a modular power supply so all cables will be attached.
the original pc in question is probably a repurposed dell board with no further bios updates to take the latest uefi gpusIf you cannot, then simply making the best of the situation and getting the 3050 powered up is what we need to attempt.