Hello and welcome to PC Help Forum!!
That kind of problem is almost always caused by one of the following:
1. Norton
2. Malware
3. Settings
4. Corruption
The one I see the most is Norton, for some reason it blocks SSL sites, either from a setting chage or Norton gets corrupt.
If ya got Norton, remove it and try again. ONLY go to a secure site, do NOT surf around without protection. If it works, download and install Avast from the following link:
avast! antivirus software - computer virus, worm and Trojan protection by ALWIL Software
If it still doesn't work, you can reinstall Norton (personally I hate Norton though), and then we'll move on to the next possible thing.