as Mrs.JMajor said its better you go and meet your lady, you don't need a visa unless your staying longer than 3wks if i remember correctly. also meet her family, and see the countries many great sites and culture

it would be more difficult for her to visit you, only way would be a visit visa, most are refused, if she was granted one, she could stay for upto 6 months, but you would have to consider whether it would be safe and wise for her to visit a country 6000 miles away and stay with someone she has never physically meet, and im' sure her family would not be too happy about her going

go for a hol, meet your lady, and i'm sure you will be going back again within 6 months, you will not regret it , the only regret is 13hr+ flight