I have a boyfriend?

I am just askin for advice. I see my bf only on the weekends because he works 6 days a week and asked for sundays off for me. He works from 6am-6pm durning the week and gets off at 4 on saturdays. I like this guy soo much its only been a month we met on plentyoffish.com. He wasn't looking for a relationship but then said "I'm the first girl he's wanted a relationship with." And I liked when said that. I don't drive so he picks me up saturdays and I spend every weekend with him. He went home lat night his msn was away then he signed off and signed back on and he wasn't away at all. He texted me this morning and said he wasn't on his computer but left it on. Now if you leave ur computer on and you aren't on it. Wouldn't it set away automatically by itself? I tried iming him and I ume he really was away. Idk why I'm asking this, just need advice.