So, I recently got a boyfriend and we've been dating for about two months but he has liked me for almost five. He's already said he loves me and my question for you is is it all right too open my heart and stop pushing him away? Or should I not trrust him cause I've been hurt? What are the signs when a guy actually truly loves you?

You'll never know unless you try. You just got to think is he worth taking the risk? Just expect the worst but hope for the best and you'll never be disappointed.

How old are you?

If you focus on school and career AND you can still feel close as friends, I would keep going. Love is not a rational thing, but it can be a nice thing.
I would not say it until you feel it. I would not worry about saving him or yourself. Just live in the moment and always be honest as you can with yourself and him. And make sure you both respect each other a lot. If it doesn't work out that makes a break up a lot saner.

How old are you two?
I don't know about true love in 2 months, you two sound pretty young.
Relax and get to know him. Take one day at a time.
If you are just coming out of a bad relationship, you really need to take your time. If there is something there, it will develop with little effort.

There is a saying, the faster you go up the faster you go down. Meaning the sooner you give and opened to him the sooner you will get your heart broken, You have your whole life ahead of you, why rush things. Take things one day at a time and you will see the true color. If you rush into this, you will be blinded and your emotion will control you. But if you take thins really slow you can think with logic not emotion.