Do you consider $1000 a month to be a lot of money for a website to make?
Everything is relative.
In most cases, yes, $1,000 per month is an excellent earning website. But it really depends on the site and the situation. Like Sandra said, $1,000 per month is a lot of money for a small blog monetized with Adsense. However, if you are running an ecommerce site or selling product via Amazon then $1,000 might be considered a total failure. It all depends on the situation.
It also depends on where a person lives and the cost of living there and standard of living there. I live in the USA. So, $1,000 per month is not enough money to live on. Someone living in the Philippines for example might think they hit the jackpot making $1,000 per month.
Also note that the vast majority of people who try to make money with a website cannot and will not ever produce a website that earns $1,000 in a year let alone $1,000 per month. So in that context, a $1,000 earner is a very good earner and among the very small percentage of sites that earn that much or more.
If you are fishing for opinions trying to determine what people think, then I can share this with you. When someone from the United States is new to the idea of making money on the internet or building a website that makes money, they are imaging that if they built a website it might earn them a few thousand per month and if they are good it will earn more than that. They are imagining that a small percentage of people can build a site like that in a reasonably short period of time. Where they are wrong is thinking that percentage is like 10% or so. In reality, that percentage is more like 0.1% or probably even lower.