I would like to update the existing solution to help the people who are going to calculate the semantic similarity of sentences.
Step 1:
Load the suitable model using gensim and calculate the word vectors for words in the sentence and store them as a word list
Step 2 : Computing the sentence vector
The calculation of semantic similarity between sentences was difficult before but recently a paper named "A SIMPLE BUT TOUGH-TO-BEAT BASELINE FOR SENTENCE EMBEDDINGS" was proposed which suggests a simple approach by computing the weighted average of word vectors in the sentence and then remove the projections of the average vectors on their first principal component.Here the weight of a word w is a/(a + p(w)) with a being a parameter and p(w) the (estimated) word frequency called smooth inverse frequency.this method performing significantly better.
A simple code to calculate the sentence vector using SIF(smooth inverse frequency) the method proposed in the paper has been given here
Step 3: using sklearn cosine_similarity load two vectors for the sentences and compute the similarity.
This is the most simple and efficient method to compute the sentence similarity.