everyone lies in reltionships, sometimes to save heartache, sometimes to hide you're sins. it sounds as if you're lies may be serious. Gaining trust back can take time, sometimes relationships can never truly recover and it can be thrown at you in arguements. you should have a serious talk an lay you're cards out on the table. Let him know that what is done is done, you cannot turn the clock back or make him forget, all you can do is be given the oppertunity to make things up to him. Let him know how you feel about him and how you are not willing to let you're stupid mistakes affect the trust and love you both share. Ask him what he wants you to do to prove yourself and if you can put things behind you and start a clean slate.
I wish you the best of luck