There are only a couple of viable methods you can use to see your boyfriend's call history, and I've outlined them below for you. You should note, however, that both of these methods require you to either know or guess a password.
Look at his phoneThis may seem like an obvious answer, but the easiest way to view someone's call history is if you have access to their phone. From there, you can look at their recent call list to see who they've been calling.
The issue with this method is that it requires you to have access to the other person's phone which, depending on who they are, they may not approve of.
The other problem you may face with this option is that their phone may be password protected, and unless you know their password, you're not going to be able to access their call history.
Online billing or paper statements
The other option available to you is to view your boyfriend's online statements. To do this, you'll need to be able to know or guess his account password. Simply navigate to his provider's website, log in, and then look at past statements to see a list of his calls.
Another option is to look at his paper statements, although the onus is on online billing these days, so he may not even have any to look through.
Issues
It's important to ask yourself whether it's worth trying to view your boyfriend's call history. Going behind his back to do so is a breach of trust and could cause major issues in your relationship if he finds out.
If you're worried about who your boyfriend has been calling, it might be a good idea to ask him about it first before you try to find out through the methods listed above.