Is their a way by which Ubiquiti Unifi controller can be integrated with Sumo Logic to get the  network logs and USG(Unifi Security Gateway) Firewall logs in sumo logic?

Sumo Logic doesn't have specific integration with Ubiquiti Unifi-controller but the most common way to push any sort of network or firewall logs is using Syslog and for that typically you need a local collector with a Syslog listener as a source.

Here's a link on how to install a collector on Linux: Install a Collector on Linux

Setting up a Syslog source is fairly simply - define TCP or UDP and a port number to create a Syslog listener source. For more info: Syslog Source

There is a very good article that can be seen from below link on the Ubiquity networks community site that matches exactly this requirement:

https://community.ubnt.com/t5/UniFi-Routing-Switching/USG-Firewall-Log-Live-Visulaztion-using-rsyslog-server-and/td-p/2152640