Summer Housing Either in Palo Alto or near South San Francisco

My name is Linda and I'm currently a junior majoring in IR. I'm looking for summer housing approx. from June 16th to August 18th. I'm looking either for a single studio/room or I'm willing to share housing depending on the price. Hoping for a budget of ~1,000/month or less. My job is located in South San Francisco, but I'm willing to live anywhere around the area within a reasonable distance or in Palo Alto. Email me if ya'll have any recommendations!