I'm thinking of my boyfriend of two months and I looked at wedding rings today
That's very sweet. Do you want to marry your boyfriend?
Yes, I want to be with this man.
It's understandable to want to get married to your new boyfriend if you really love him and think you two would be happy together. I think you should discuss your future together with him to see how he feels.
I talked to him on Skype. I sent him a list of wedding rings and told him I love him through the computer.
So what did he say about it, was he on board with it all? If he's really okay with it then congratulations! It's okay to go right into it if you truly love each other.