It would be easier to connect the Android and PC to the same network (WiFi/Ethernet) then create a socket connection between the two units.
In short:
- Join the Android to your network, probably using WiFi.
- Join your PC to the network (WiFi/Ethernet).
- Create an app on your PC which listens for a socket connection on a port. See Get Closer to the Wire with High-Performance Sockets in .NET.
- Open the port in your PC's antivirus firewall.
- Create an app on your Android which starts a socket connection to the PC (you will need the PC's internal IP address the port you opened on the PC's antivirus firewall). See Socket Communications.
It is a little complicated, but uses current tech and will give you more options and is easier to implement and maintain then a Bluetooth serial connection.