The best thing to do right now is track your spending.
You know you're saving 1k a month, and you know you're spending 1k a month on rent. That's 24k so far. I presume you'll have some income tax taken out, let's assume it's another 6k to round us neatly up to 30k.
Since you earn 80k and you've spent 30k so far, you have another 50k unaccounted for. If you're in the USA I'd recommend using mint.com or a similar service to automatically track your transactions, or even just a spreadsheet if you don't like handing out your bank details (and you shouldn't).
After that, I agree with SoulsOpenSource's answer. Write a budget and try to figure out where the fat can be trimmed. When I started tracking I saw I was spending almost a hundred bucks every week on fast food, due to poor planning and laziness. I decided to cook more and plan better and now I'm spending less than half that - in the last year I've saved almost three thousand dollars!
If you want to save up for your future (and good on you if you do!) then there'll be some choices to make ahead. If you're spending a few hundred bucks on going out drinking every weekend, or you grab two coffees every day, or you buy fifty blurays a month (do people still buy blurays?), you'll have to ask yourself: Will I be happier spending money here than saving for my future?