No, they do not complete with each other for absorbtion and serve different functions. Glutamine will help shift your body from it's post workout catabolic state and will help with muscle repair and growth.
Glutamine is a non-essential ammino acid which helps prevent the breakdown of muscle fiber. Creatine helps the muscle fiber store more H2O and ATP energy. Supplementing with creatine also helps muscle recover faster from working out.
Glutamine is directly involved in the regulation of protein synthesis and breakdown. So how is it going to compete with protien? Also the protien you're taking contains ammino acids including glutamine so again, why would it compete? Glutamine is absorbed into the bloodstream, kidneys, liver and gut. Protien is processed in the stomache and then the intestine and finally absorbed by the gastrointestinal tract
Creatine is derived from 3 non essential amino acids: glycine, methionine and arginine. After ingestion, creatine binds with phosphates in your body to form creatine phosphates. This phosphate bound creatine molecule donates its own phosphate molecule with ADP to reform ATP. Creatine absorbtion can be increased by using carbohydrates. Most people use some type of juice.
Also, are you going to be taking glutimine orally or through injections?