Yes, there are lot's of websites where you can buy bitcoins, check these:
https://www.bitstamp.net/
https://www.kraken.com/
https://www.bitfinex.com/
https://www.bitstamp.net/
https://www.kraken.com/
https://www.bitfinex.com/
okay next question when trading users what is the preferred way to trade them. don't want to have any ban manners or seem retarded. do most ppl use a middle man service?