how do you remove "read more" button?

is there a solution to this? basically i’ve crafted my website using a theme i purchased online then i added a twitter share button as well as facebook one, but the read more button doesn’t make it clickable until someone actually clicks the photo and to me that defeats the purpose..like for example if there is a picture posted with text under it saying you can grab this “here” with the “here” being in a clickable html re-directing to the site you couldn’t click it until you actually clicked the picture first and then read the column. if there is an Option to put the twitter/fb share next to the “Read More” button or on top of it that would relinquish my problem 100% actually. Here is a sample page of what my blog looks like except this is a demo from there site but same exact layout

http://www.mojo-themes.com/item/justblog-responsive-blog-theme/demo/

Thank you so much in advance i tried to be as detailed as possible