Sending sympathy. Three years is a long time to have been together and six weeks is not long enough for some people to recover from a break up. The gf knew it was coming. She had time to get used to it.
He's doing well, going out and even trying dating. I think it's good, if he was committed to her that he's not just fallen in love with someone else.
Tell him to take his time. It's ok to hurt and hoping to get back together is simply a sign that he's still hurting. He can't yet imagine being with someone else. Tell him to concentrate on his friends, having some fun, and getting on with uni work. And keep listening to him whilst he's feeling sad. It's lovely that he trusts you to tell you, but perhaps set a time limit on the calls, when he phones, so that he's not just going round in circles.
Just validate his feelings when he calls. It's a listening technique to show someone that they are being heard. You dont have to offer advice. Just let him know your can hear how he is feeling.
It is tough, having to cope with this . . .
This is why they call it heartbreak. It hurts . . .
You will be happy again one day, but for now it's ok to feel sad/angry/confused. It's normal to feel that way . . .
Hang on in there! My 80 year old Mum found it really hard when her 50 year old son went through a v painful divorce!! Being a good mum doesn't stop when they are strapping young men or even older men. You still want to make everything ok for them, but you have to remember that you can't. You can just support them through whatever is next.