First go to the User Profile Field menu in the adminCP and choose "Add New User Profile Field". When you've added your new radio button field, in the Profile Field Manager you can see what ID the new field was assigned, and then in a template you can check for the value. For instance if your new field is ID 8, then you'd check the value of $bbuserinfo[field8], like:
Code:
<if condition="$bbuserinfo[field8] == 'Yes'">
Yes
<else />
No
</if>
But there's one other thing to note: when you add a field, all users will have a blank value for that field until they edit their profile and save it. So if you add a radio button with options Yes and No, you have to also handle the possibility of the value being blank. (You can do that by checking for the non-default value in your if condition. For instance, in the above example a blank field would act the same as 'No' because we checked for 'Yes').