> Were people paid for their labor?

Yes. Different jobs paid different amounts, and people were paid for overtime. (With a bunch of malarkey about what exactly qualifies as overtime.) Some jobs had a harder time attracting workers, because of relatively poor conditions + poor pay, compared to others.

Most prices for essential goods (Basic food, housing) was set by the government to be very low. Many well-paid people had money, that they couldn't really spend in the official system.

> Was everyone given ration cards?

Yes. There were a large number of consumer goods (meat, vodka, butter) that were rationed. Other goods, of which there were no real shortages of (In the post-war period), were bought at regular stores. If you weren't a drinker, you would often trade your vodka ration to someone who was.

For yet other goods, of which there were shortages of (Fresh vegetables, for instance), the government encouraged private production of them. Some Russians had plots of personal land.

You could have a plot of personal land in one of two ways. You could either be a collectivized farmer, and, after you met your annual slave-like obligations to the collective, you could work on farming your small personal plots. Alternatively, you could be a well-off city resident, owning a datcha (A small summer home, often with a small plot of land.)

You could then grow produce on your personal plot of land, and sell it at farmer's markets. Due to shortages, and artificially low prices in the official system, food at farmer's markets cost many times what it would cost at a grocery.

> Was a party membership enough to get some basic food from one of these stores?

Official government prices for food were very cheap, and if you weren't picky, there was no shortage of cheap calories that you could buy. So, people weren't starving to death, but if you wanted more then your 500g of sausage, and 90g of butter/month, you needed to spend money in the private markets.

Party members in good standing had access to party-only stores, which sold more limited items.

> I think the question is, was money abolished along with capitalism?

No. You see, the Soviet Union never actually reached communism - for its entire history, it claimed to be in a transitional period, from capitalism to communism. Once communism would be reached, there would be plenty for all, and money would, obviously, be irrelevant! (Or not. The powers that be weren't super-clear as to how exactly that would work, and none of the citizens really gave a shit, because it was clear to everyone with a room-temperature-or-higher IQ that communism would not ever be reached in their lifetimes, and that it's better for your mental and physical health to not ask too many questions about it.)

But, in the meantime, as people were working their way towards communism, money was still necessary as an incentive for good work. State-ran businesses did financial accounting, they would purchase raw goods from other state-ran businesses, would sell their products through state-ran stores. For consumer goods, there would be multiple competing brands, with different quality, and pricing.

The difference between the USSR and the USA, in this sense, is where the profits would go, and how much of the accounting was 'real'. The government would often place economic orders that it wouldn't need to pay for (If the army needs to move a 50 soldiers from Moscow to Vladivostok, it doesn't pay the transportation department the price of 50 train tickets.) It would also do financial malarkey with the profits of state enterprises (To subsidize things like staple foods, housing, education, medical care, etc, which were provided to the citizenry at below-cost prices.)

PS: Bonus point:

You may ask: Well, what did people who had extra money/vodka/etc do with it?

There were a few things you could spend it on - there were some non-essential consumer goods that had vastly inflated sticker prices. Luxury goods (Which you might buy second-hand from a party member, who bought theirs from an official, party-only store), and domestic appliances were one example. Cars, were another - they would cost multiple years of wages - and also came with a multi-year, sometimes decade-long waiting period.

Bribes were a third one - with a large bribe, you could often shave a few years off your waiting period for a car.

The black market was a fourth one - a lot of people in the Soviet Union stole from their workplaces. And I do mean a lot. There weren't department stores, you couldn't go into a Lowe's, and buy a bunch of new roof shingles for your datcha. Yet, everyone who cared about the roof of their datcha had new roof shingles. How was this possible?

The answer is, of course, elementary. What you would do, is get in touch with an alcoholic who works at the roof shingle factory, he will arrange for a pallet of shingles to fall off the back of the delivery truck, and you will arrange for him to get fifty rubles, and four bottles of vodka. He will be drunk for two days, the truck driver will buy a radio for his girlfriend, his workplace will do some accounting bullshit to try to avoid blame, the government construction site that expects these shingles will have to delay work for a week, and the Regional Minister of Construction Supplies will give a radio speech about how if we only worked really hard, to produce enough roof shingles, in a few decades, we will finally attain communism, and we might have department stores, where private citizens could go to, and purchase shingles for their datchas.

It's all insane, of course, but I've yet to live in a country which wasn't.