Paper trading is different on different systems.
The first question is whether the system you are using has data and actions that are as real time as their live system. Most are. The second, and bigger question, is whether the fills are realistic. Since you are not actually buying and selling this can never be 100% like live trading and most paper/sim systems show a better fill rate than live trading. What this means is that you will probably get better fills on a paper/sim system then in real life. The smaller your profit target the bigger the difference this makes. If you are swing/position trading and looking for 20 or 50 points and have stops that are 3 points or more then this will seldom make a difference. But if you are scalping and taking profits of a couple points or less then your sim/paper results will be very unrealistic. For example with many sim/paper systems you can go into a slow market where price isnt' moving much and put in a limit buy at current price, get filled, then enter a limit sell at a couple ticks profit and you'll get filled. Very small sim/paper profits but do this for an hour and you'll think you're the master of the trading universe and found 'the answer'. Do this live and you'll quickly find out that you never get filled at the price you want to buy or sell at and do nothing but lose money - unless this is part of some other successful strategy.
If you are trading a very liquid contract like the ES during higher volume (day market) hours then the difference will generally be only one tick on the fills. In other words your fills will probably not occur unless price goes one tick past them and/or your profits on a round trip trade will be 1/2 point (2 ticks) lower than the sim/paper trade.
On more thinly traded contracts, or even ES in some of the slower overnight hours, there could be a larger margin with several tick differences between sim/paper and live fills.
The above is the biggest technical difference. Beyond that is the wide world of psychological differences. Trading the sim/paper 'game' is a whole lot more different than trading real out of pocket dollars.
None the less I feel that sim/paper trading is an essential way to learning to trade with consistent profits. You should always set some sort of consistency goals with a strategy and never trade live until can do it consistently on sim/paper. If you can't make money on sim/paper you'll lose even more on live trading. Unfortunately making money on sim/paper trading does not mean you'll do well on live - but you have to do it first as a step on the way there.