Sample Code:

AccountListController.apex:

public class AccountListController {
    
    @AuraEnabled
    public static List < Account > fetchAccts() {
        return [ SELECT Id, Name, Industry, Type FROM Account LIMIT 10 ];
    }
    

}

AccountList.cmp:

<aura:component implements="force:appHostable"
    controller="AccountListController">
                
    <aura:attribute type="Account[]" name="acctList"/>
    <aura:attribute name="mycolumns" type="List"/>
    
    <aura:handler name="init" value="{!this}" action="{!c.fetchAccounts}"/>
    
    <lightning:datatable data="{! v.acctList }" 
                         columns="{! v.mycolumns }" 
                         keyField="Id"
                         hideCheckboxColumn="true"
                         onrowaction="{!c.viewRecord}"/>
    

</aura:component>

AccountListController.js:

({
    fetchAccounts : function(component, event, helper) {
        component.set('v.mycolumns', [
            {label: 'Account Name', fieldName: 'Name', type: 'text'},
            {label: 'Industry', fieldName: 'Industry', type: 'text'},
            {label: 'Type', fieldName: 'Type', type: 'Text'},
            {type: "button", typeAttributes: {
                label: 'View',
                name: 'View',
                title: 'View',
                disabled: false,
                value: 'view',
                iconPosition: 'left'
            }},
            {type: "button", typeAttributes: {
                label: 'Edit',
                name: 'Edit',
                title: 'Edit',
                disabled: false,
                value: 'edit',
                iconPosition: 'left'
            }}
        ]);
        var action = component.get("c.fetchAccts");
        action.setParams({
        });
        action.setCallback(this, function(response){
            var state = response.getState();
            if (state === "SUCCESS") {
                component.set("v.acctList", response.getReturnValue());
            }
        });
        $A.enqueueAction(action);
    },
    viewRecord : function(component, event, helper) {
        var recId = event.getParam('row').Id;
        var actionName = event.getParam('action').name;
        if ( actionName == 'Edit' ) {
            alert('Edit');
            var editRecordEvent = $A.get("e.force:editRecord");
            editRecordEvent.setParams({
                "recordId": recId
            });
            editRecordEvent.fire();
        } else if ( actionName == 'View') {
            alert('view');
            var viewRecordEvent = $A.get("e.force:navigateToURL");
            viewRecordEvent.setParams({
                "url": "/" + recId
            });
            viewRecordEvent.fire();
        }
    }

})

Output:

If you click View button, it will take you to the Account detail page.

If you click Edit button, it will popup Account Edit form.