Are me and my best friends relationship normal?

So me and my best friend met over the internet a couple of months ago. She's helped me through a lot of personal issues that I wouldn't have been able to overcome without her. She lives almost 900 miles away so we've never met in person but we're planning to meet soon! I love her to death and she's just like a little sister. We text, skype, call, write each other all the time! I really do think she was brought into my life to help me and i've helped her with a lot of issues too. I was bullied all through high school and didn't have very many friends so it's amazing to have this wonderful best friend but sometimes i question her sexuality. She tells me she loves me all the time and i do too. We sent each other hoodies so it could feel like we were there in a way. But i've never given another girl one of my hoodies. Is that normal? I can't tell her this because it's offensive and i don't want to hurt her but sometimes our friendship freaks me out a little bit. I was also talking to this guy for awhile but she got REALLY jealous of him because she thought i wouldn't have time for her so i ended it to make her feel better.