The obtain bond lenghts and angles you need the coordinates of the the atoms and the parameters of the cell to which the coordinates refer. Then it is a classic problem of analytical geometry. Of course there are several programs doing that, but I strongly suggest to understand the basic principles.

If you have solved a crystal structure from single crystal XRD, the bond lengths are found in the cif file. You can use crystal structure software (e.g. Olex2 which is free) to inspect bond lengths visually.

XRD is not XRD. Are you talking about single or powerde XRD? The usual way is not to use XRD per se for this topic. You simply need to identify the phase by XRD and then you use crystal structure databases in order to visualize the structure. There are many software packages which then enable to extract the bonding length automatically or diplay something which looks like bondings. I am not sure what you are looking for but only because there a line is draw between two circles it does not automatically mean that this is a relevant bond. Therefore, look first in chemical books what is a bond and whether this is your requirement and then compare it with the results extracted from software packages (see CCP14 web site). 

If you want know more about the correlation of XRD intensities and a crystal structure you need to read some books or visit a course about crystal structure determination. Everything is related to the atomic distribution in 3D and thus also the bondings, but this is a quite complex topic and researchgate is certainly not the platform to explain these problems in a meaningful way. It cannot compensate missing fundamental knowledge. And to me your question sounds more like: I don't nothing, tell me all. Therefore, my recomendation: visit a course about this topic. And even afetr 1 year it might be that you still cannot completely answer this question by yourself. But you will get an impression how painful this business actually is and how easy it  looks pressing some buttons in a software.

The obtain bond lenghts and angles you need the coordinates of the the atoms and the parameters of the cell to which the coordinates refer. Then it is a classic problem of analytical geometry. Of course there are several programs doing that, but I strongly suggest to understand the basic principles.

Phase identification of your sample is the first step you must follow. From crystallographic data base systems, you can get possible phase prototype which will then enable you to refine your obtained XRD data. There are many free programs with which you can do this, a straight forward program that can be used for this purpose is powder cell and with it you can also view the structure of your material. Having a good understanding of the kind of bond length you which to get i.e. from which atom to which atom , you should navigate through the icons and you should be able to select what you desired.